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Finding the Fourth Proportional to 1,732.74, 2,586.48 and 1,514.04

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Solution

The fourth proportional to 1,732.74, 2,586.48 and 1,514.04 is: 2,260.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.74 : 2,586.48 = 1,514.04 : x
  2. Step 2: Convert to fraction form
    1,732.74/2,586.48 = 1,514.04/x
  3. Step 3: Cross multiply
    1,732.74x = 2,586.48 × 1,514.04
  4. Step 4: Simplify right side
    1,732.74x = 3,916,034.18
  5. Step 5: Solve for x
    x = 3,916,034.18/1,732.74
  6. Step 6: Final answer
    x = 2,260.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.