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Finding the Fourth Proportional to 2,862.05, 3,950.57 and 1,743.71

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Solution

The fourth proportional to 2,862.05, 3,950.57 and 1,743.71 is: 2,406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.05 : 3,950.57 = 1,743.71 : x
  2. Step 2: Convert to fraction form
    2,862.05/3,950.57 = 1,743.71/x
  3. Step 3: Cross multiply
    2,862.05x = 3,950.57 × 1,743.71
  4. Step 4: Simplify right side
    2,862.05x = 6,888,633.02
  5. Step 5: Solve for x
    x = 6,888,633.02/2,862.05
  6. Step 6: Final answer
    x = 2,406.89

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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.