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Finding the Fourth Proportional to 2,514.83, 3,470.87 and 1,520.66

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Solution

The fourth proportional to 2,514.83, 3,470.87 and 1,520.66 is: 2,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.83 : 3,470.87 = 1,520.66 : x
  2. Step 2: Convert to fraction form
    2,514.83/3,470.87 = 1,520.66/x
  3. Step 3: Cross multiply
    2,514.83x = 3,470.87 × 1,520.66
  4. Step 4: Simplify right side
    2,514.83x = 5,277,988.22
  5. Step 5: Solve for x
    x = 5,277,988.22/2,514.83
  6. Step 6: Final answer
    x = 2,098.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.