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Finding the Fourth Proportional to 2,044.17, 3,065.76 and 947.48

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Solution

The fourth proportional to 2,044.17, 3,065.76 and 947.48 is: 1,420.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,044.17 : 3,065.76 = 947.48 : x
  2. Step 2: Convert to fraction form
    2,044.17/3,065.76 = 947.48/x
  3. Step 3: Cross multiply
    2,044.17x = 3,065.76 × 947.48
  4. Step 4: Simplify right side
    2,044.17x = 2,904,730.96
  5. Step 5: Solve for x
    x = 2,904,730.96/2,044.17
  6. Step 6: Final answer
    x = 1,420.98

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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.