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Finding the Fourth Proportional to 1,581.32, 2,182.28 and 951.82

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Solution

The fourth proportional to 1,581.32, 2,182.28 and 951.82 is: 1,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.32 : 2,182.28 = 951.82 : x
  2. Step 2: Convert to fraction form
    1,581.32/2,182.28 = 951.82/x
  3. Step 3: Cross multiply
    1,581.32x = 2,182.28 × 951.82
  4. Step 4: Simplify right side
    1,581.32x = 2,077,127.53
  5. Step 5: Solve for x
    x = 2,077,127.53/1,581.32
  6. Step 6: Final answer
    x = 1,313.54

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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.