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Finding the Fourth Proportional to 2,744.85, 4,117.84 and 895.93

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Solution

The fourth proportional to 2,744.85, 4,117.84 and 895.93 is: 1,344.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.85 : 4,117.84 = 895.93 : x
  2. Step 2: Convert to fraction form
    2,744.85/4,117.84 = 895.93/x
  3. Step 3: Cross multiply
    2,744.85x = 4,117.84 × 895.93
  4. Step 4: Simplify right side
    2,744.85x = 3,689,296.39
  5. Step 5: Solve for x
    x = 3,689,296.39/2,744.85
  6. Step 6: Final answer
    x = 1,344.08

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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.