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Finding the Fourth Proportional to 2,104.08, 3,156.12 and 717.57

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Solution

The fourth proportional to 2,104.08, 3,156.12 and 717.57 is: 1,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.08 : 3,156.12 = 717.57 : x
  2. Step 2: Convert to fraction form
    2,104.08/3,156.12 = 717.57/x
  3. Step 3: Cross multiply
    2,104.08x = 3,156.12 × 717.57
  4. Step 4: Simplify right side
    2,104.08x = 2,264,737.03
  5. Step 5: Solve for x
    x = 2,264,737.03/2,104.08
  6. Step 6: Final answer
    x = 1,076.36

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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.