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Finding the Fourth Proportional to 2,854.26, 4,281.36 and 906.62

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Solution

The fourth proportional to 2,854.26, 4,281.36 and 906.62 is: 1,359.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.26 : 4,281.36 = 906.62 : x
  2. Step 2: Convert to fraction form
    2,854.26/4,281.36 = 906.62/x
  3. Step 3: Cross multiply
    2,854.26x = 4,281.36 × 906.62
  4. Step 4: Simplify right side
    2,854.26x = 3,881,545.20
  5. Step 5: Solve for x
    x = 3,881,545.20/2,854.26
  6. Step 6: Final answer
    x = 1,359.91

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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.