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Finding the Fourth Proportional to 1,221.85, 1,677.32 and 1,123.43

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Solution

The fourth proportional to 1,221.85, 1,677.32 and 1,123.43 is: 1,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.85 : 1,677.32 = 1,123.43 : x
  2. Step 2: Convert to fraction form
    1,221.85/1,677.32 = 1,123.43/x
  3. Step 3: Cross multiply
    1,221.85x = 1,677.32 × 1,123.43
  4. Step 4: Simplify right side
    1,221.85x = 1,884,351.61
  5. Step 5: Solve for x
    x = 1,884,351.61/1,221.85
  6. Step 6: Final answer
    x = 1,542.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.