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Finding the Fourth Proportional to 1,780.62, 2,671.16 and 610.85

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Solution

The fourth proportional to 1,780.62, 2,671.16 and 610.85 is: 916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.62 : 2,671.16 = 610.85 : x
  2. Step 2: Convert to fraction form
    1,780.62/2,671.16 = 610.85/x
  3. Step 3: Cross multiply
    1,780.62x = 2,671.16 × 610.85
  4. Step 4: Simplify right side
    1,780.62x = 1,631,661.68
  5. Step 5: Solve for x
    x = 1,631,661.68/1,780.62
  6. Step 6: Final answer
    x = 916.34

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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.