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Finding the Fourth Proportional to 1,974.13, 2,961.21 and 587.43

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Solution

The fourth proportional to 1,974.13, 2,961.21 and 587.43 is: 881.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.13 : 2,961.21 = 587.43 : x
  2. Step 2: Convert to fraction form
    1,974.13/2,961.21 = 587.43/x
  3. Step 3: Cross multiply
    1,974.13x = 2,961.21 × 587.43
  4. Step 4: Simplify right side
    1,974.13x = 1,739,503.59
  5. Step 5: Solve for x
    x = 1,739,503.59/1,974.13
  6. Step 6: Final answer
    x = 881.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.