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Finding the Fourth Proportional to 1,671.35, 2,306.39 and 925.30

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Solution

The fourth proportional to 1,671.35, 2,306.39 and 925.30 is: 1,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.35 : 2,306.39 = 925.30 : x
  2. Step 2: Convert to fraction form
    1,671.35/2,306.39 = 925.30/x
  3. Step 3: Cross multiply
    1,671.35x = 2,306.39 × 925.30
  4. Step 4: Simplify right side
    1,671.35x = 2,134,092.27
  5. Step 5: Solve for x
    x = 2,134,092.27/1,671.35
  6. Step 6: Final answer
    x = 1,276.87

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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.