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Finding the Fourth Proportional to 2,902.68, 4,344.30 and 2,382.66

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Solution

The fourth proportional to 2,902.68, 4,344.30 and 2,382.66 is: 3,566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.68 : 4,344.30 = 2,382.66 : x
  2. Step 2: Convert to fraction form
    2,902.68/4,344.30 = 2,382.66/x
  3. Step 3: Cross multiply
    2,902.68x = 4,344.30 × 2,382.66
  4. Step 4: Simplify right side
    2,902.68x = 10,350,989.84
  5. Step 5: Solve for x
    x = 10,350,989.84/2,902.68
  6. Step 6: Final answer
    x = 3,566.01

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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.