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Finding the Fourth Proportional to 2,744.42, 4,117.20 and 895.64

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Solution

The fourth proportional to 2,744.42, 4,117.20 and 895.64 is: 1,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,744.42 : 4,117.20 = 895.64 : x
  2. Step 2: Convert to fraction form
    2,744.42/4,117.20 = 895.64/x
  3. Step 3: Cross multiply
    2,744.42x = 4,117.20 × 895.64
  4. Step 4: Simplify right side
    2,744.42x = 3,687,505.06
  5. Step 5: Solve for x
    x = 3,687,505.06/2,744.42
  6. Step 6: Final answer
    x = 1,343.64

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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.