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Finding the Fourth Proportional to 2,411.85, 3,617.89 and 1,095.09

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Solution

The fourth proportional to 2,411.85, 3,617.89 and 1,095.09 is: 1,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.85 : 3,617.89 = 1,095.09 : x
  2. Step 2: Convert to fraction form
    2,411.85/3,617.89 = 1,095.09/x
  3. Step 3: Cross multiply
    2,411.85x = 3,617.89 × 1,095.09
  4. Step 4: Simplify right side
    2,411.85x = 3,961,932.46
  5. Step 5: Solve for x
    x = 3,961,932.46/2,411.85
  6. Step 6: Final answer
    x = 1,642.69

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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.