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Finding the Fourth Proportional to 2,774.51, 3,832.05 and 2,508.89

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Solution

The fourth proportional to 2,774.51, 3,832.05 and 2,508.89 is: 3,465.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.51 : 3,832.05 = 2,508.89 : x
  2. Step 2: Convert to fraction form
    2,774.51/3,832.05 = 2,508.89/x
  3. Step 3: Cross multiply
    2,774.51x = 3,832.05 × 2,508.89
  4. Step 4: Simplify right side
    2,774.51x = 9,614,172.76
  5. Step 5: Solve for x
    x = 9,614,172.76/2,774.51
  6. Step 6: Final answer
    x = 3,465.18

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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.