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Finding the Fourth Proportional to 3,092.76, 4,639.17 and 901.74

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Solution

The fourth proportional to 3,092.76, 4,639.17 and 901.74 is: 1,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.76 : 4,639.17 = 901.74 : x
  2. Step 2: Convert to fraction form
    3,092.76/4,639.17 = 901.74/x
  3. Step 3: Cross multiply
    3,092.76x = 4,639.17 × 901.74
  4. Step 4: Simplify right side
    3,092.76x = 4,183,325.16
  5. Step 5: Solve for x
    x = 4,183,325.16/3,092.76
  6. Step 6: Final answer
    x = 1,352.62

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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.