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Finding the Fourth Proportional to 3,129.75, 4,319.19 and 1,732.50

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Solution

The fourth proportional to 3,129.75, 4,319.19 and 1,732.50 is: 2,390.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.75 : 4,319.19 = 1,732.50 : x
  2. Step 2: Convert to fraction form
    3,129.75/4,319.19 = 1,732.50/x
  3. Step 3: Cross multiply
    3,129.75x = 4,319.19 × 1,732.50
  4. Step 4: Simplify right side
    3,129.75x = 7,482,996.68
  5. Step 5: Solve for x
    x = 7,482,996.68/3,129.75
  6. Step 6: Final answer
    x = 2,390.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.