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Finding the Fourth Proportional to 1,781.44, 2,457.28 and 1,082.88

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Solution

The fourth proportional to 1,781.44, 2,457.28 and 1,082.88 is: 1,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.44 : 2,457.28 = 1,082.88 : x
  2. Step 2: Convert to fraction form
    1,781.44/2,457.28 = 1,082.88/x
  3. Step 3: Cross multiply
    1,781.44x = 2,457.28 × 1,082.88
  4. Step 4: Simplify right side
    1,781.44x = 2,660,939.37
  5. Step 5: Solve for x
    x = 2,660,939.37/1,781.44
  6. Step 6: Final answer
    x = 1,493.70

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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.