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Finding the Fourth Proportional to 3,125.76, 4,689.50 and 1,664.52

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Solution

The fourth proportional to 3,125.76, 4,689.50 and 1,664.52 is: 2,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.76 : 4,689.50 = 1,664.52 : x
  2. Step 2: Convert to fraction form
    3,125.76/4,689.50 = 1,664.52/x
  3. Step 3: Cross multiply
    3,125.76x = 4,689.50 × 1,664.52
  4. Step 4: Simplify right side
    3,125.76x = 7,805,766.54
  5. Step 5: Solve for x
    x = 7,805,766.54/3,125.76
  6. Step 6: Final answer
    x = 2,497.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.