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Finding the Fourth Proportional to 2,288.43, 3,434.04 and 2,102.55

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Solution

The fourth proportional to 2,288.43, 3,434.04 and 2,102.55 is: 3,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.43 : 3,434.04 = 2,102.55 : x
  2. Step 2: Convert to fraction form
    2,288.43/3,434.04 = 2,102.55/x
  3. Step 3: Cross multiply
    2,288.43x = 3,434.04 × 2,102.55
  4. Step 4: Simplify right side
    2,288.43x = 7,220,240.80
  5. Step 5: Solve for x
    x = 7,220,240.80/2,288.43
  6. Step 6: Final answer
    x = 3,155.11

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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.