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Finding the Fourth Proportional to 2,378.42, 3,274.16 and 2,044.90

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Solution

The fourth proportional to 2,378.42, 3,274.16 and 2,044.90 is: 2,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.42 : 3,274.16 = 2,044.90 : x
  2. Step 2: Convert to fraction form
    2,378.42/3,274.16 = 2,044.90/x
  3. Step 3: Cross multiply
    2,378.42x = 3,274.16 × 2,044.90
  4. Step 4: Simplify right side
    2,378.42x = 6,695,329.78
  5. Step 5: Solve for x
    x = 6,695,329.78/2,378.42
  6. Step 6: Final answer
    x = 2,815.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.