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Finding the Fourth Proportional to 2,849.54, 4,274.71 and 1,387.69

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Solution

The fourth proportional to 2,849.54, 4,274.71 and 1,387.69 is: 2,081.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,849.54 : 4,274.71 = 1,387.69 : x
  2. Step 2: Convert to fraction form
    2,849.54/4,274.71 = 1,387.69/x
  3. Step 3: Cross multiply
    2,849.54x = 4,274.71 × 1,387.69
  4. Step 4: Simplify right side
    2,849.54x = 5,931,958.16
  5. Step 5: Solve for x
    x = 5,931,958.16/2,849.54
  6. Step 6: Final answer
    x = 2,081.73

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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.