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Finding the Fourth Proportional to 3,123.96, 4,311.12 and 1,726.74

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Solution

The fourth proportional to 3,123.96, 4,311.12 and 1,726.74 is: 2,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.96 : 4,311.12 = 1,726.74 : x
  2. Step 2: Convert to fraction form
    3,123.96/4,311.12 = 1,726.74/x
  3. Step 3: Cross multiply
    3,123.96x = 4,311.12 × 1,726.74
  4. Step 4: Simplify right side
    3,123.96x = 7,444,183.35
  5. Step 5: Solve for x
    x = 7,444,183.35/3,123.96
  6. Step 6: Final answer
    x = 2,382.93

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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.