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Finding the Fourth Proportional to 2,770.85, 4,155.38 and 921.47

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Solution

The fourth proportional to 2,770.85, 4,155.38 and 921.47 is: 1,381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.85 : 4,155.38 = 921.47 : x
  2. Step 2: Convert to fraction form
    2,770.85/4,155.38 = 921.47/x
  3. Step 3: Cross multiply
    2,770.85x = 4,155.38 × 921.47
  4. Step 4: Simplify right side
    2,770.85x = 3,829,063.79
  5. Step 5: Solve for x
    x = 3,829,063.79/2,770.85
  6. Step 6: Final answer
    x = 1,381.91

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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.