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Finding the Fourth Proportional to 3,141.61, 4,712.36 and 769.71

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Solution

The fourth proportional to 3,141.61, 4,712.36 and 769.71 is: 1,154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.61 : 4,712.36 = 769.71 : x
  2. Step 2: Convert to fraction form
    3,141.61/4,712.36 = 769.71/x
  3. Step 3: Cross multiply
    3,141.61x = 4,712.36 × 769.71
  4. Step 4: Simplify right side
    3,141.61x = 3,627,152.54
  5. Step 5: Solve for x
    x = 3,627,152.54/3,141.61
  6. Step 6: Final answer
    x = 1,154.55

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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.