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Finding the Fourth Proportional to 1,691.74, 2,337.83 and 1,439.56

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Solution

The fourth proportional to 1,691.74, 2,337.83 and 1,439.56 is: 1,989.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.74 : 2,337.83 = 1,439.56 : x
  2. Step 2: Convert to fraction form
    1,691.74/2,337.83 = 1,439.56/x
  3. Step 3: Cross multiply
    1,691.74x = 2,337.83 × 1,439.56
  4. Step 4: Simplify right side
    1,691.74x = 3,365,446.55
  5. Step 5: Solve for x
    x = 3,365,446.55/1,691.74
  6. Step 6: Final answer
    x = 1,989.34

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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.