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Finding the Fourth Proportional to 4,098.88, 6,148.36 and 1,020.88

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Solution

The fourth proportional to 4,098.88, 6,148.36 and 1,020.88 is: 1,531.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.88 : 6,148.36 = 1,020.88 : x
  2. Step 2: Convert to fraction form
    4,098.88/6,148.36 = 1,020.88/x
  3. Step 3: Cross multiply
    4,098.88x = 6,148.36 × 1,020.88
  4. Step 4: Simplify right side
    4,098.88x = 6,276,737.76
  5. Step 5: Solve for x
    x = 6,276,737.76/4,098.88
  6. Step 6: Final answer
    x = 1,531.33

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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.