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Finding the Fourth Proportional to 1,780.38, 2,671.78 and 626.12

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Solution

The fourth proportional to 1,780.38, 2,671.78 and 626.12 is: 939.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.38 : 2,671.78 = 626.12 : x
  2. Step 2: Convert to fraction form
    1,780.38/2,671.78 = 626.12/x
  3. Step 3: Cross multiply
    1,780.38x = 2,671.78 × 626.12
  4. Step 4: Simplify right side
    1,780.38x = 1,672,854.89
  5. Step 5: Solve for x
    x = 1,672,854.89/1,780.38
  6. Step 6: Final answer
    x = 939.61

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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.