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Finding the Fourth Proportional to 1,781.10, 2,457.18 and 1,035

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Solution

The fourth proportional to 1,781.10, 2,457.18 and 1,035 is: 1,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.10 : 2,457.18 = 1,035 : x
  2. Step 2: Convert to fraction form
    1,781.10/2,457.18 = 1,035/x
  3. Step 3: Cross multiply
    1,781.10x = 2,457.18 × 1,035
  4. Step 4: Simplify right side
    1,781.10x = 2,543,181.30
  5. Step 5: Solve for x
    x = 2,543,181.30/1,781.10
  6. Step 6: Final answer
    x = 1,427.87

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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.