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Finding the Fourth Proportional to 2,148.78, 2,965.26 and 1,217.28

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Solution

The fourth proportional to 2,148.78, 2,965.26 and 1,217.28 is: 1,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.78 : 2,965.26 = 1,217.28 : x
  2. Step 2: Convert to fraction form
    2,148.78/2,965.26 = 1,217.28/x
  3. Step 3: Cross multiply
    2,148.78x = 2,965.26 × 1,217.28
  4. Step 4: Simplify right side
    2,148.78x = 3,609,551.69
  5. Step 5: Solve for x
    x = 3,609,551.69/2,148.78
  6. Step 6: Final answer
    x = 1,679.81

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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.