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Finding the Fourth Proportional to 1,948.74, 2,686.68 and 1,284.54

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Solution

The fourth proportional to 1,948.74, 2,686.68 and 1,284.54 is: 1,770.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,948.74 : 2,686.68 = 1,284.54 : x
  2. Step 2: Convert to fraction form
    1,948.74/2,686.68 = 1,284.54/x
  3. Step 3: Cross multiply
    1,948.74x = 2,686.68 × 1,284.54
  4. Step 4: Simplify right side
    1,948.74x = 3,451,147.93
  5. Step 5: Solve for x
    x = 3,451,147.93/1,948.74
  6. Step 6: Final answer
    x = 1,770.96

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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.