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Finding the Fourth Proportional to 2,103.55, 3,155.52 and 716.42

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Solution

The fourth proportional to 2,103.55, 3,155.52 and 716.42 is: 1,074.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.55 : 3,155.52 = 716.42 : x
  2. Step 2: Convert to fraction form
    2,103.55/3,155.52 = 716.42/x
  3. Step 3: Cross multiply
    2,103.55x = 3,155.52 × 716.42
  4. Step 4: Simplify right side
    2,103.55x = 2,260,677.64
  5. Step 5: Solve for x
    x = 2,260,677.64/2,103.55
  6. Step 6: Final answer
    x = 1,074.70

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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.