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Finding the Fourth Proportional to 2,862.64, 3,949.76 and 1,743.56

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Solution

The fourth proportional to 2,862.64, 3,949.76 and 1,743.56 is: 2,405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.64 : 3,949.76 = 1,743.56 : x
  2. Step 2: Convert to fraction form
    2,862.64/3,949.76 = 1,743.56/x
  3. Step 3: Cross multiply
    2,862.64x = 3,949.76 × 1,743.56
  4. Step 4: Simplify right side
    2,862.64x = 6,886,643.55
  5. Step 5: Solve for x
    x = 6,886,643.55/2,862.64
  6. Step 6: Final answer
    x = 2,405.70

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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.