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Finding the Fourth Proportional to 2,411.49, 3,613.11 and 1,316.62

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Solution

The fourth proportional to 2,411.49, 3,613.11 and 1,316.62 is: 1,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.49 : 3,613.11 = 1,316.62 : x
  2. Step 2: Convert to fraction form
    2,411.49/3,613.11 = 1,316.62/x
  3. Step 3: Cross multiply
    2,411.49x = 3,613.11 × 1,316.62
  4. Step 4: Simplify right side
    2,411.49x = 4,757,092.47
  5. Step 5: Solve for x
    x = 4,757,092.47/2,411.49
  6. Step 6: Final answer
    x = 1,972.68

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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.