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Finding the Fourth Proportional to 3,160.96, 4,737.12 and 1,618.72

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Solution

The fourth proportional to 3,160.96, 4,737.12 and 1,618.72 is: 2,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.96 : 4,737.12 = 1,618.72 : x
  2. Step 2: Convert to fraction form
    3,160.96/4,737.12 = 1,618.72/x
  3. Step 3: Cross multiply
    3,160.96x = 4,737.12 × 1,618.72
  4. Step 4: Simplify right side
    3,160.96x = 7,668,070.89
  5. Step 5: Solve for x
    x = 7,668,070.89/3,160.96
  6. Step 6: Final answer
    x = 2,425.87

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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.