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Finding the Fourth Proportional to 2,332.73, 3,497.87 and 689.06

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Solution

The fourth proportional to 2,332.73, 3,497.87 and 689.06 is: 1,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.73 : 3,497.87 = 689.06 : x
  2. Step 2: Convert to fraction form
    2,332.73/3,497.87 = 689.06/x
  3. Step 3: Cross multiply
    2,332.73x = 3,497.87 × 689.06
  4. Step 4: Simplify right side
    2,332.73x = 2,410,242.30
  5. Step 5: Solve for x
    x = 2,410,242.30/2,332.73
  6. Step 6: Final answer
    x = 1,033.23

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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.