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Finding the Fourth Proportional to 2,327.52, 3,491.70 and 767.61

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Solution

The fourth proportional to 2,327.52, 3,491.70 and 767.61 is: 1,151.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.52 : 3,491.70 = 767.61 : x
  2. Step 2: Convert to fraction form
    2,327.52/3,491.70 = 767.61/x
  3. Step 3: Cross multiply
    2,327.52x = 3,491.70 × 767.61
  4. Step 4: Simplify right side
    2,327.52x = 2,680,263.84
  5. Step 5: Solve for x
    x = 2,680,263.84/2,327.52
  6. Step 6: Final answer
    x = 1,151.55

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1.5x scale

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.