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Finding the Fourth Proportional to 2,572.96, 3,860.67 and 1,274.14

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Solution

The fourth proportional to 2,572.96, 3,860.67 and 1,274.14 is: 1,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.96 : 3,860.67 = 1,274.14 : x
  2. Step 2: Convert to fraction form
    2,572.96/3,860.67 = 1,274.14/x
  3. Step 3: Cross multiply
    2,572.96x = 3,860.67 × 1,274.14
  4. Step 4: Simplify right side
    2,572.96x = 4,919,034.07
  5. Step 5: Solve for x
    x = 4,919,034.07/2,572.96
  6. Step 6: Final answer
    x = 1,911.82

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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.