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Finding the Fourth Proportional to 3,182.25, 4,391.52 and 1,785

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Solution

The fourth proportional to 3,182.25, 4,391.52 and 1,785 is: 2,463.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.25 : 4,391.52 = 1,785 : x
  2. Step 2: Convert to fraction form
    3,182.25/4,391.52 = 1,785/x
  3. Step 3: Cross multiply
    3,182.25x = 4,391.52 × 1,785
  4. Step 4: Simplify right side
    3,182.25x = 7,838,863.20
  5. Step 5: Solve for x
    x = 7,838,863.20/3,182.25
  6. Step 6: Final answer
    x = 2,463.31

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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.