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Finding the Fourth Proportional to 2,294.94, 3,438.30 and 1,471.17

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Solution

The fourth proportional to 2,294.94, 3,438.30 and 1,471.17 is: 2,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.94 : 3,438.30 = 1,471.17 : x
  2. Step 2: Convert to fraction form
    2,294.94/3,438.30 = 1,471.17/x
  3. Step 3: Cross multiply
    2,294.94x = 3,438.30 × 1,471.17
  4. Step 4: Simplify right side
    2,294.94x = 5,058,323.81
  5. Step 5: Solve for x
    x = 5,058,323.81/2,294.94
  6. Step 6: Final answer
    x = 2,204.12

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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.