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Finding the Fourth Proportional to 1,513.20, 2,270.52 and 864.12

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Solution

The fourth proportional to 1,513.20, 2,270.52 and 864.12 is: 1,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,513.20 : 2,270.52 = 864.12 : x
  2. Step 2: Convert to fraction form
    1,513.20/2,270.52 = 864.12/x
  3. Step 3: Cross multiply
    1,513.20x = 2,270.52 × 864.12
  4. Step 4: Simplify right side
    1,513.20x = 1,962,001.74
  5. Step 5: Solve for x
    x = 1,962,001.74/1,513.20
  6. Step 6: Final answer
    x = 1,296.59

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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.