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Finding the Fourth Proportional to 1,974.60, 2,961.62 and 675.88

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Solution

The fourth proportional to 1,974.60, 2,961.62 and 675.88 is: 1,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.60 : 2,961.62 = 675.88 : x
  2. Step 2: Convert to fraction form
    1,974.60/2,961.62 = 675.88/x
  3. Step 3: Cross multiply
    1,974.60x = 2,961.62 × 675.88
  4. Step 4: Simplify right side
    1,974.60x = 2,001,699.73
  5. Step 5: Solve for x
    x = 2,001,699.73/1,974.60
  6. Step 6: Final answer
    x = 1,013.72

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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.