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Finding the Fourth Proportional to 4,098.94, 6,148.42 and 1,020.94

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Solution

The fourth proportional to 4,098.94, 6,148.42 and 1,020.94 is: 1,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.94 : 6,148.42 = 1,020.94 : x
  2. Step 2: Convert to fraction form
    4,098.94/6,148.42 = 1,020.94/x
  3. Step 3: Cross multiply
    4,098.94x = 6,148.42 × 1,020.94
  4. Step 4: Simplify right side
    4,098.94x = 6,277,149.99
  5. Step 5: Solve for x
    x = 6,277,149.99/4,098.94
  6. Step 6: Final answer
    x = 1,531.41

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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.