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Finding the Fourth Proportional to 1,785.52, 2,464.04 and 1,029.13

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Solution

The fourth proportional to 1,785.52, 2,464.04 and 1,029.13 is: 1,420.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.52 : 2,464.04 = 1,029.13 : x
  2. Step 2: Convert to fraction form
    1,785.52/2,464.04 = 1,029.13/x
  3. Step 3: Cross multiply
    1,785.52x = 2,464.04 × 1,029.13
  4. Step 4: Simplify right side
    1,785.52x = 2,535,805.17
  5. Step 5: Solve for x
    x = 2,535,805.17/1,785.52
  6. Step 6: Final answer
    x = 1,420.21

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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.