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Finding the Fourth Proportional to 2,332.25, 3,497.56 and 870.61

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Solution

The fourth proportional to 2,332.25, 3,497.56 and 870.61 is: 1,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.25 : 3,497.56 = 870.61 : x
  2. Step 2: Convert to fraction form
    2,332.25/3,497.56 = 870.61/x
  3. Step 3: Cross multiply
    2,332.25x = 3,497.56 × 870.61
  4. Step 4: Simplify right side
    2,332.25x = 3,045,010.71
  5. Step 5: Solve for x
    x = 3,045,010.71/2,332.25
  6. Step 6: Final answer
    x = 1,305.61

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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.