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Finding the Fourth Proportional to 1,516.53, 2,262.17 and 1,341.57

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Solution

The fourth proportional to 1,516.53, 2,262.17 and 1,341.57 is: 2,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.53 : 2,262.17 = 1,341.57 : x
  2. Step 2: Convert to fraction form
    1,516.53/2,262.17 = 1,341.57/x
  3. Step 3: Cross multiply
    1,516.53x = 2,262.17 × 1,341.57
  4. Step 4: Simplify right side
    1,516.53x = 3,034,859.41
  5. Step 5: Solve for x
    x = 3,034,859.41/1,516.53
  6. Step 6: Final answer
    x = 2,001.19

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.