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Finding the Fourth Proportional to 2,332.44, 3,497.82 and 772.16

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Solution

The fourth proportional to 2,332.44, 3,497.82 and 772.16 is: 1,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.44 : 3,497.82 = 772.16 : x
  2. Step 2: Convert to fraction form
    2,332.44/3,497.82 = 772.16/x
  3. Step 3: Cross multiply
    2,332.44x = 3,497.82 × 772.16
  4. Step 4: Simplify right side
    2,332.44x = 2,700,859.20
  5. Step 5: Solve for x
    x = 2,700,859.20/2,332.44
  6. Step 6: Final answer
    x = 1,157.95

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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.