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Finding the Fourth Proportional to 2,005.86, 2,767.44 and 1,534.44

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Solution

The fourth proportional to 2,005.86, 2,767.44 and 1,534.44 is: 2,117.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.86 : 2,767.44 = 1,534.44 : x
  2. Step 2: Convert to fraction form
    2,005.86/2,767.44 = 1,534.44/x
  3. Step 3: Cross multiply
    2,005.86x = 2,767.44 × 1,534.44
  4. Step 4: Simplify right side
    2,005.86x = 4,246,470.63
  5. Step 5: Solve for x
    x = 4,246,470.63/2,005.86
  6. Step 6: Final answer
    x = 2,117.03

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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.