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Finding the Fourth Proportional to 1,516.85, 2,270.91 and 1,358.56

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Solution

The fourth proportional to 1,516.85, 2,270.91 and 1,358.56 is: 2,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.85 : 2,270.91 = 1,358.56 : x
  2. Step 2: Convert to fraction form
    1,516.85/2,270.91 = 1,358.56/x
  3. Step 3: Cross multiply
    1,516.85x = 2,270.91 × 1,358.56
  4. Step 4: Simplify right side
    1,516.85x = 3,085,167.49
  5. Step 5: Solve for x
    x = 3,085,167.49/1,516.85
  6. Step 6: Final answer
    x = 2,033.93

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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.