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Finding the Fourth Proportional to 2,514.99, 3,774.18 and 1,034.47

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Solution

The fourth proportional to 2,514.99, 3,774.18 and 1,034.47 is: 1,552.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.99 : 3,774.18 = 1,034.47 : x
  2. Step 2: Convert to fraction form
    2,514.99/3,774.18 = 1,034.47/x
  3. Step 3: Cross multiply
    2,514.99x = 3,774.18 × 1,034.47
  4. Step 4: Simplify right side
    2,514.99x = 3,904,275.98
  5. Step 5: Solve for x
    x = 3,904,275.98/2,514.99
  6. Step 6: Final answer
    x = 1,552.41

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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.