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Finding the Fourth Proportional to 2,682.75, 3,707.13 and 2,554.77

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Solution

The fourth proportional to 2,682.75, 3,707.13 and 2,554.77 is: 3,530.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.75 : 3,707.13 = 2,554.77 : x
  2. Step 2: Convert to fraction form
    2,682.75/3,707.13 = 2,554.77/x
  3. Step 3: Cross multiply
    2,682.75x = 3,707.13 × 2,554.77
  4. Step 4: Simplify right side
    2,682.75x = 9,470,864.51
  5. Step 5: Solve for x
    x = 9,470,864.51/2,682.75
  6. Step 6: Final answer
    x = 3,530.28

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.