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Finding the Fourth Proportional to 2,770.07, 4,155.77 and 921.17

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Solution

The fourth proportional to 2,770.07, 4,155.77 and 921.17 is: 1,381.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.07 : 4,155.77 = 921.17 : x
  2. Step 2: Convert to fraction form
    2,770.07/4,155.77 = 921.17/x
  3. Step 3: Cross multiply
    2,770.07x = 4,155.77 × 921.17
  4. Step 4: Simplify right side
    2,770.07x = 3,828,183.34
  5. Step 5: Solve for x
    x = 3,828,183.34/2,770.07
  6. Step 6: Final answer
    x = 1,381.98

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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.