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Finding the Fourth Proportional to 2,600.96, 3,899.52 and 2,240

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Solution

The fourth proportional to 2,600.96, 3,899.52 and 2,240 is: 3,358.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.96 : 3,899.52 = 2,240 : x
  2. Step 2: Convert to fraction form
    2,600.96/3,899.52 = 2,240/x
  3. Step 3: Cross multiply
    2,600.96x = 3,899.52 × 2,240
  4. Step 4: Simplify right side
    2,600.96x = 8,734,924.80
  5. Step 5: Solve for x
    x = 8,734,924.80/2,600.96
  6. Step 6: Final answer
    x = 3,358.35

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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.