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Finding the Fourth Proportional to 1,451.88, 2,177.97 and 961.48

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Solution

The fourth proportional to 1,451.88, 2,177.97 and 961.48 is: 1,442.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.88 : 2,177.97 = 961.48 : x
  2. Step 2: Convert to fraction form
    1,451.88/2,177.97 = 961.48/x
  3. Step 3: Cross multiply
    1,451.88x = 2,177.97 × 961.48
  4. Step 4: Simplify right side
    1,451.88x = 2,094,066.87
  5. Step 5: Solve for x
    x = 2,094,066.87/1,451.88
  6. Step 6: Final answer
    x = 1,442.31

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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.