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Finding the Fourth Proportional to 1,479.47, 2,214.91 and 861.29

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Solution

The fourth proportional to 1,479.47, 2,214.91 and 861.29 is: 1,289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.47 : 2,214.91 = 861.29 : x
  2. Step 2: Convert to fraction form
    1,479.47/2,214.91 = 861.29/x
  3. Step 3: Cross multiply
    1,479.47x = 2,214.91 × 861.29
  4. Step 4: Simplify right side
    1,479.47x = 1,907,679.83
  5. Step 5: Solve for x
    x = 1,907,679.83/1,479.47
  6. Step 6: Final answer
    x = 1,289.43

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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.