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Finding the Fourth Proportional to 2,514.65, 3,470.54 and 1,466.73

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Solution

The fourth proportional to 2,514.65, 3,470.54 and 1,466.73 is: 2,024.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.65 : 3,470.54 = 1,466.73 : x
  2. Step 2: Convert to fraction form
    2,514.65/3,470.54 = 1,466.73/x
  3. Step 3: Cross multiply
    2,514.65x = 3,470.54 × 1,466.73
  4. Step 4: Simplify right side
    2,514.65x = 5,090,337.80
  5. Step 5: Solve for x
    x = 5,090,337.80/2,514.65
  6. Step 6: Final answer
    x = 2,024.28

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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.