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Finding the Fourth Proportional to 2,044.84, 3,059.52 and 1,254.42

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Solution

The fourth proportional to 2,044.84, 3,059.52 and 1,254.42 is: 1,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.84 : 3,059.52 = 1,254.42 : x
  2. Step 2: Convert to fraction form
    2,044.84/3,059.52 = 1,254.42/x
  3. Step 3: Cross multiply
    2,044.84x = 3,059.52 × 1,254.42
  4. Step 4: Simplify right side
    2,044.84x = 3,837,923.08
  5. Step 5: Solve for x
    x = 3,837,923.08/2,044.84
  6. Step 6: Final answer
    x = 1,876.88

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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.