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Finding the Fourth Proportional to 1,421.54, 1,961.17 and 861.64

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Solution

The fourth proportional to 1,421.54, 1,961.17 and 861.64 is: 1,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.54 : 1,961.17 = 861.64 : x
  2. Step 2: Convert to fraction form
    1,421.54/1,961.17 = 861.64/x
  3. Step 3: Cross multiply
    1,421.54x = 1,961.17 × 861.64
  4. Step 4: Simplify right side
    1,421.54x = 1,689,822.52
  5. Step 5: Solve for x
    x = 1,689,822.52/1,421.54
  6. Step 6: Final answer
    x = 1,188.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.