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Finding the Fourth Proportional to 3,084, 4,255.92 and 1,686.76

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Solution

The fourth proportional to 3,084, 4,255.92 and 1,686.76 is: 2,327.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084 : 4,255.92 = 1,686.76 : x
  2. Step 2: Convert to fraction form
    3,084/4,255.92 = 1,686.76/x
  3. Step 3: Cross multiply
    3,084x = 4,255.92 × 1,686.76
  4. Step 4: Simplify right side
    3,084x = 7,178,715.62
  5. Step 5: Solve for x
    x = 7,178,715.62/3,084
  6. Step 6: Final answer
    x = 2,327.73

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.