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Finding the Fourth Proportional to 2,411.72, 3,616.86 and 872.36

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Solution

The fourth proportional to 2,411.72, 3,616.86 and 872.36 is: 1,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.72 : 3,616.86 = 872.36 : x
  2. Step 2: Convert to fraction form
    2,411.72/3,616.86 = 872.36/x
  3. Step 3: Cross multiply
    2,411.72x = 3,616.86 × 872.36
  4. Step 4: Simplify right side
    2,411.72x = 3,155,203.99
  5. Step 5: Solve for x
    x = 3,155,203.99/2,411.72
  6. Step 6: Final answer
    x = 1,308.28

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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.