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Finding the Fourth Proportional to 2,044.72, 3,065.52 and 1,019.44

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Solution

The fourth proportional to 2,044.72, 3,065.52 and 1,019.44 is: 1,528.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.72 : 3,065.52 = 1,019.44 : x
  2. Step 2: Convert to fraction form
    2,044.72/3,065.52 = 1,019.44/x
  3. Step 3: Cross multiply
    2,044.72x = 3,065.52 × 1,019.44
  4. Step 4: Simplify right side
    2,044.72x = 3,125,113.71
  5. Step 5: Solve for x
    x = 3,125,113.71/2,044.72
  6. Step 6: Final answer
    x = 1,528.38

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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.