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Finding the Fourth Proportional to 2,744.06, 4,115.78 and 895.01

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Solution

The fourth proportional to 2,744.06, 4,115.78 and 895.01 is: 1,342.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.06 : 4,115.78 = 895.01 : x
  2. Step 2: Convert to fraction form
    2,744.06/4,115.78 = 895.01/x
  3. Step 3: Cross multiply
    2,744.06x = 4,115.78 × 895.01
  4. Step 4: Simplify right side
    2,744.06x = 3,683,639.20
  5. Step 5: Solve for x
    x = 3,683,639.20/2,744.06
  6. Step 6: Final answer
    x = 1,342.41

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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.