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Finding the Fourth Proportional to 4,098.69, 6,148.03 and 1,020.69

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Solution

The fourth proportional to 4,098.69, 6,148.03 and 1,020.69 is: 1,531.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.69 : 6,148.03 = 1,020.69 : x
  2. Step 2: Convert to fraction form
    4,098.69/6,148.03 = 1,020.69/x
  3. Step 3: Cross multiply
    4,098.69x = 6,148.03 × 1,020.69
  4. Step 4: Simplify right side
    4,098.69x = 6,275,232.74
  5. Step 5: Solve for x
    x = 6,275,232.74/4,098.69
  6. Step 6: Final answer
    x = 1,531.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.