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Finding the Fourth Proportional to 2,103.78, 3,155.82 and 716.55

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Solution

The fourth proportional to 2,103.78, 3,155.82 and 716.55 is: 1,074.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.78 : 3,155.82 = 716.55 : x
  2. Step 2: Convert to fraction form
    2,103.78/3,155.82 = 716.55/x
  3. Step 3: Cross multiply
    2,103.78x = 3,155.82 × 716.55
  4. Step 4: Simplify right side
    2,103.78x = 2,261,302.82
  5. Step 5: Solve for x
    x = 2,261,302.82/2,103.78
  6. Step 6: Final answer
    x = 1,074.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.