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Finding the Fourth Proportional to 1,478.18, 2,217.28 and 866.16

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Solution

The fourth proportional to 1,478.18, 2,217.28 and 866.16 is: 1,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.18 : 2,217.28 = 866.16 : x
  2. Step 2: Convert to fraction form
    1,478.18/2,217.28 = 866.16/x
  3. Step 3: Cross multiply
    1,478.18x = 2,217.28 × 866.16
  4. Step 4: Simplify right side
    1,478.18x = 1,920,519.24
  5. Step 5: Solve for x
    x = 1,920,519.24/1,478.18
  6. Step 6: Final answer
    x = 1,299.25

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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.