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Finding the Fourth Proportional to 3,261.12, 4,891.85 and 921.30

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Solution

The fourth proportional to 3,261.12, 4,891.85 and 921.30 is: 1,382.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261.12 : 4,891.85 = 921.30 : x
  2. Step 2: Convert to fraction form
    3,261.12/4,891.85 = 921.30/x
  3. Step 3: Cross multiply
    3,261.12x = 4,891.85 × 921.30
  4. Step 4: Simplify right side
    3,261.12x = 4,506,856.80
  5. Step 5: Solve for x
    x = 4,506,856.80/3,261.12
  6. Step 6: Final answer
    x = 1,382.00

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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.