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Finding the Fourth Proportional to 2,714.88, 4,074.75 and 2,539.92

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Solution

The fourth proportional to 2,714.88, 4,074.75 and 2,539.92 is: 3,812.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.88 : 4,074.75 = 2,539.92 : x
  2. Step 2: Convert to fraction form
    2,714.88/4,074.75 = 2,539.92/x
  3. Step 3: Cross multiply
    2,714.88x = 4,074.75 × 2,539.92
  4. Step 4: Simplify right side
    2,714.88x = 10,349,539.02
  5. Step 5: Solve for x
    x = 10,349,539.02/2,714.88
  6. Step 6: Final answer
    x = 3,812.15

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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.