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Finding the Fourth Proportional to 1,781.73, 2,456.72 and 1,284.19

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Solution

The fourth proportional to 1,781.73, 2,456.72 and 1,284.19 is: 1,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.73 : 2,456.72 = 1,284.19 : x
  2. Step 2: Convert to fraction form
    1,781.73/2,456.72 = 1,284.19/x
  3. Step 3: Cross multiply
    1,781.73x = 2,456.72 × 1,284.19
  4. Step 4: Simplify right side
    1,781.73x = 3,154,895.26
  5. Step 5: Solve for x
    x = 3,154,895.26/1,781.73
  6. Step 6: Final answer
    x = 1,770.69

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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.