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Finding the Fourth Proportional to 2,913.80, 4,371.78 and 966.56

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Solution

The fourth proportional to 2,913.80, 4,371.78 and 966.56 is: 1,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.80 : 4,371.78 = 966.56 : x
  2. Step 2: Convert to fraction form
    2,913.80/4,371.78 = 966.56/x
  3. Step 3: Cross multiply
    2,913.80x = 4,371.78 × 966.56
  4. Step 4: Simplify right side
    2,913.80x = 4,225,587.68
  5. Step 5: Solve for x
    x = 4,225,587.68/2,913.80
  6. Step 6: Final answer
    x = 1,450.20

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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.