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Finding the Fourth Proportional to 1,431.62, 2,148.15 and 566.66

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Solution

The fourth proportional to 1,431.62, 2,148.15 and 566.66 is: 850.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.62 : 2,148.15 = 566.66 : x
  2. Step 2: Convert to fraction form
    1,431.62/2,148.15 = 566.66/x
  3. Step 3: Cross multiply
    1,431.62x = 2,148.15 × 566.66
  4. Step 4: Simplify right side
    1,431.62x = 1,217,270.68
  5. Step 5: Solve for x
    x = 1,217,270.68/1,431.62
  6. Step 6: Final answer
    x = 850.27

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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.