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Finding the Fourth Proportional to 1,514.12, 2,270.53 and 576.90

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Solution

The fourth proportional to 1,514.12, 2,270.53 and 576.90 is: 865.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.12 : 2,270.53 = 576.90 : x
  2. Step 2: Convert to fraction form
    1,514.12/2,270.53 = 576.90/x
  3. Step 3: Cross multiply
    1,514.12x = 2,270.53 × 576.90
  4. Step 4: Simplify right side
    1,514.12x = 1,309,867.31
  5. Step 5: Solve for x
    x = 1,309,867.31/1,514.12
  6. Step 6: Final answer
    x = 865.10

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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.