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Finding the Fourth Proportional to 1,974.39, 2,961.48 and 587.76

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Solution

The fourth proportional to 1,974.39, 2,961.48 and 587.76 is: 881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.39 : 2,961.48 = 587.76 : x
  2. Step 2: Convert to fraction form
    1,974.39/2,961.48 = 587.76/x
  3. Step 3: Cross multiply
    1,974.39x = 2,961.48 × 587.76
  4. Step 4: Simplify right side
    1,974.39x = 1,740,639.48
  5. Step 5: Solve for x
    x = 1,740,639.48/1,974.39
  6. Step 6: Final answer
    x = 881.61

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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.