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Finding the Fourth Proportional to 2,545.84, 3,818.80 and 1,398.88

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Solution

The fourth proportional to 2,545.84, 3,818.80 and 1,398.88 is: 2,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.84 : 3,818.80 = 1,398.88 : x
  2. Step 2: Convert to fraction form
    2,545.84/3,818.80 = 1,398.88/x
  3. Step 3: Cross multiply
    2,545.84x = 3,818.80 × 1,398.88
  4. Step 4: Simplify right side
    2,545.84x = 5,342,042.94
  5. Step 5: Solve for x
    x = 5,342,042.94/2,545.84
  6. Step 6: Final answer
    x = 2,098.34

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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.