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Finding the Fourth Proportional to 2,932, 4,048.32 and 2,147.20

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Solution

The fourth proportional to 2,932, 4,048.32 and 2,147.20 is: 2,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932 : 4,048.32 = 2,147.20 : x
  2. Step 2: Convert to fraction form
    2,932/4,048.32 = 2,147.20/x
  3. Step 3: Cross multiply
    2,932x = 4,048.32 × 2,147.20
  4. Step 4: Simplify right side
    2,932x = 8,692,552.70
  5. Step 5: Solve for x
    x = 8,692,552.70/2,932
  6. Step 6: Final answer
    x = 2,964.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.