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Finding the Fourth Proportional to 1,827.38, 2,742.16 and 961.76

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Solution

The fourth proportional to 1,827.38, 2,742.16 and 961.76 is: 1,443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.38 : 2,742.16 = 961.76 : x
  2. Step 2: Convert to fraction form
    1,827.38/2,742.16 = 961.76/x
  3. Step 3: Cross multiply
    1,827.38x = 2,742.16 × 961.76
  4. Step 4: Simplify right side
    1,827.38x = 2,637,299.80
  5. Step 5: Solve for x
    x = 2,637,299.80/1,827.38
  6. Step 6: Final answer
    x = 1,443.21

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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.