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Finding the Fourth Proportional to 3,153.60, 4,732.16 and 1,509.96

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Solution

The fourth proportional to 3,153.60, 4,732.16 and 1,509.96 is: 2,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.60 : 4,732.16 = 1,509.96 : x
  2. Step 2: Convert to fraction form
    3,153.60/4,732.16 = 1,509.96/x
  3. Step 3: Cross multiply
    3,153.60x = 4,732.16 × 1,509.96
  4. Step 4: Simplify right side
    3,153.60x = 7,145,372.31
  5. Step 5: Solve for x
    x = 7,145,372.31/3,153.60
  6. Step 6: Final answer
    x = 2,265.78

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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.