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Finding the Fourth Proportional to 2,361.06, 3,540.15 and 898.65

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Solution

The fourth proportional to 2,361.06, 3,540.15 and 898.65 is: 1,347.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.06 : 3,540.15 = 898.65 : x
  2. Step 2: Convert to fraction form
    2,361.06/3,540.15 = 898.65/x
  3. Step 3: Cross multiply
    2,361.06x = 3,540.15 × 898.65
  4. Step 4: Simplify right side
    2,361.06x = 3,181,355.80
  5. Step 5: Solve for x
    x = 3,181,355.80/2,361.06
  6. Step 6: Final answer
    x = 1,347.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.