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Finding the Fourth Proportional to 2,972.76, 4,454.62 and 2,353.88

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Solution

The fourth proportional to 2,972.76, 4,454.62 and 2,353.88 is: 3,527.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.76 : 4,454.62 = 2,353.88 : x
  2. Step 2: Convert to fraction form
    2,972.76/4,454.62 = 2,353.88/x
  3. Step 3: Cross multiply
    2,972.76x = 4,454.62 × 2,353.88
  4. Step 4: Simplify right side
    2,972.76x = 10,485,640.93
  5. Step 5: Solve for x
    x = 10,485,640.93/2,972.76
  6. Step 6: Final answer
    x = 3,527.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.