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Finding the Fourth Proportional to 1,512.11, 2,267.85 and 471.97

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Solution

The fourth proportional to 1,512.11, 2,267.85 and 471.97 is: 707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.11 : 2,267.85 = 471.97 : x
  2. Step 2: Convert to fraction form
    1,512.11/2,267.85 = 471.97/x
  3. Step 3: Cross multiply
    1,512.11x = 2,267.85 × 471.97
  4. Step 4: Simplify right side
    1,512.11x = 1,070,345.83
  5. Step 5: Solve for x
    x = 1,070,345.83/1,512.11
  6. Step 6: Final answer
    x = 707.85

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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.