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Finding the Fourth Proportional to 2,744.87, 4,116.38 and 895.53

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Solution

The fourth proportional to 2,744.87, 4,116.38 and 895.53 is: 1,342.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.87 : 4,116.38 = 895.53 : x
  2. Step 2: Convert to fraction form
    2,744.87/4,116.38 = 895.53/x
  3. Step 3: Cross multiply
    2,744.87x = 4,116.38 × 895.53
  4. Step 4: Simplify right side
    2,744.87x = 3,686,347.46
  5. Step 5: Solve for x
    x = 3,686,347.46/2,744.87
  6. Step 6: Final answer
    x = 1,342.99

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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.