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Finding the Fourth Proportional to 2,104.17, 3,155.97 and 717.45

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Solution

The fourth proportional to 2,104.17, 3,155.97 and 717.45 is: 1,076.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.17 : 3,155.97 = 717.45 : x
  2. Step 2: Convert to fraction form
    2,104.17/3,155.97 = 717.45/x
  3. Step 3: Cross multiply
    2,104.17x = 3,155.97 × 717.45
  4. Step 4: Simplify right side
    2,104.17x = 2,264,250.68
  5. Step 5: Solve for x
    x = 2,264,250.68/2,104.17
  6. Step 6: Final answer
    x = 1,076.08

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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.