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Finding the Fourth Proportional to 2,744.51, 4,116.92 and 895.82

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Solution

The fourth proportional to 2,744.51, 4,116.92 and 895.82 is: 1,343.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.51 : 4,116.92 = 895.82 : x
  2. Step 2: Convert to fraction form
    2,744.51/4,116.92 = 895.82/x
  3. Step 3: Cross multiply
    2,744.51x = 4,116.92 × 895.82
  4. Step 4: Simplify right side
    2,744.51x = 3,687,994.21
  5. Step 5: Solve for x
    x = 3,687,994.21/2,744.51
  6. Step 6: Final answer
    x = 1,343.77

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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.