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Finding the Fourth Proportional to 1,551.62, 2,141.57 and 961.81

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Solution

The fourth proportional to 1,551.62, 2,141.57 and 961.81 is: 1,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.62 : 2,141.57 = 961.81 : x
  2. Step 2: Convert to fraction form
    1,551.62/2,141.57 = 961.81/x
  3. Step 3: Cross multiply
    1,551.62x = 2,141.57 × 961.81
  4. Step 4: Simplify right side
    1,551.62x = 2,059,780.49
  5. Step 5: Solve for x
    x = 2,059,780.49/1,551.62
  6. Step 6: Final answer
    x = 1,327.50

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