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Finding the Fourth Proportional to 2,374.43, 3,274.88 and 1,744.76

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Solution

The fourth proportional to 2,374.43, 3,274.88 and 1,744.76 is: 2,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.43 : 3,274.88 = 1,744.76 : x
  2. Step 2: Convert to fraction form
    2,374.43/3,274.88 = 1,744.76/x
  3. Step 3: Cross multiply
    2,374.43x = 3,274.88 × 1,744.76
  4. Step 4: Simplify right side
    2,374.43x = 5,713,854.53
  5. Step 5: Solve for x
    x = 5,713,854.53/2,374.43
  6. Step 6: Final answer
    x = 2,406.42

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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.