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Finding the Fourth Proportional to 2,626.50, 3,622.95 and 2,103.78

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Solution

The fourth proportional to 2,626.50, 3,622.95 and 2,103.78 is: 2,901.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.50 : 3,622.95 = 2,103.78 : x
  2. Step 2: Convert to fraction form
    2,626.50/3,622.95 = 2,103.78/x
  3. Step 3: Cross multiply
    2,626.50x = 3,622.95 × 2,103.78
  4. Step 4: Simplify right side
    2,626.50x = 7,621,889.75
  5. Step 5: Solve for x
    x = 7,621,889.75/2,626.50
  6. Step 6: Final answer
    x = 2,901.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.