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Finding the Fourth Proportional to 2,411.06, 3,616.22 and 2,002.82

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Solution

The fourth proportional to 2,411.06, 3,616.22 and 2,002.82 is: 3,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.06 : 3,616.22 = 2,002.82 : x
  2. Step 2: Convert to fraction form
    2,411.06/3,616.22 = 2,002.82/x
  3. Step 3: Cross multiply
    2,411.06x = 3,616.22 × 2,002.82
  4. Step 4: Simplify right side
    2,411.06x = 7,242,624.67
  5. Step 5: Solve for x
    x = 7,242,624.67/2,411.06
  6. Step 6: Final answer
    x = 3,003.92

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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.