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Finding the Fourth Proportional to 3,294.48, 4,938.90 and 1,444.17

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Solution

The fourth proportional to 3,294.48, 4,938.90 and 1,444.17 is: 2,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.48 : 4,938.90 = 1,444.17 : x
  2. Step 2: Convert to fraction form
    3,294.48/4,938.90 = 1,444.17/x
  3. Step 3: Cross multiply
    3,294.48x = 4,938.90 × 1,444.17
  4. Step 4: Simplify right side
    3,294.48x = 7,132,611.21
  5. Step 5: Solve for x
    x = 7,132,611.21/3,294.48
  6. Step 6: Final answer
    x = 2,165.02

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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.