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Finding the Fourth Proportional to 2,913.46, 4,366.54 and 2,294.72

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Solution

The fourth proportional to 2,913.46, 4,366.54 and 2,294.72 is: 3,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.46 : 4,366.54 = 2,294.72 : x
  2. Step 2: Convert to fraction form
    2,913.46/4,366.54 = 2,294.72/x
  3. Step 3: Cross multiply
    2,913.46x = 4,366.54 × 2,294.72
  4. Step 4: Simplify right side
    2,913.46x = 10,019,971.17
  5. Step 5: Solve for x
    x = 10,019,971.17/2,913.46
  6. Step 6: Final answer
    x = 3,439.20

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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.