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Finding the Fourth Proportional to 2,639.57, 3,641.02 and 1,743.32

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Solution

The fourth proportional to 2,639.57, 3,641.02 and 1,743.32 is: 2,404.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.57 : 3,641.02 = 1,743.32 : x
  2. Step 2: Convert to fraction form
    2,639.57/3,641.02 = 1,743.32/x
  3. Step 3: Cross multiply
    2,639.57x = 3,641.02 × 1,743.32
  4. Step 4: Simplify right side
    2,639.57x = 6,347,436.06
  5. Step 5: Solve for x
    x = 6,347,436.06/2,639.57
  6. Step 6: Final answer
    x = 2,404.72

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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.