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Finding the Fourth Proportional to 1,512.20, 2,267.67 and 471.86

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Solution

The fourth proportional to 1,512.20, 2,267.67 and 471.86 is: 707.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.20 : 2,267.67 = 471.86 : x
  2. Step 2: Convert to fraction form
    1,512.20/2,267.67 = 471.86/x
  3. Step 3: Cross multiply
    1,512.20x = 2,267.67 × 471.86
  4. Step 4: Simplify right side
    1,512.20x = 1,070,011.43
  5. Step 5: Solve for x
    x = 1,070,011.43/1,512.20
  6. Step 6: Final answer
    x = 707.59

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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.