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Finding the Fourth Proportional to 2,616.40, 3,938.86 and 2,259.28

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Solution

The fourth proportional to 2,616.40, 3,938.86 and 2,259.28 is: 3,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.40 : 3,938.86 = 2,259.28 : x
  2. Step 2: Convert to fraction form
    2,616.40/3,938.86 = 2,259.28/x
  3. Step 3: Cross multiply
    2,616.40x = 3,938.86 × 2,259.28
  4. Step 4: Simplify right side
    2,616.40x = 8,898,987.62
  5. Step 5: Solve for x
    x = 8,898,987.62/2,616.40
  6. Step 6: Final answer
    x = 3,401.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.