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Finding the Fourth Proportional to 2,657.87, 4,002.24 and 1,969.41

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Solution

The fourth proportional to 2,657.87, 4,002.24 and 1,969.41 is: 2,965.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.87 : 4,002.24 = 1,969.41 : x
  2. Step 2: Convert to fraction form
    2,657.87/4,002.24 = 1,969.41/x
  3. Step 3: Cross multiply
    2,657.87x = 4,002.24 × 1,969.41
  4. Step 4: Simplify right side
    2,657.87x = 7,882,051.48
  5. Step 5: Solve for x
    x = 7,882,051.48/2,657.87
  6. Step 6: Final answer
    x = 2,965.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.