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Finding the Fourth Proportional to 2,517.57, 3,776.27 and 1,970.19

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Solution

The fourth proportional to 2,517.57, 3,776.27 and 1,970.19 is: 2,955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.57 : 3,776.27 = 1,970.19 : x
  2. Step 2: Convert to fraction form
    2,517.57/3,776.27 = 1,970.19/x
  3. Step 3: Cross multiply
    2,517.57x = 3,776.27 × 1,970.19
  4. Step 4: Simplify right side
    2,517.57x = 7,439,959.54
  5. Step 5: Solve for x
    x = 7,439,959.54/2,517.57
  6. Step 6: Final answer
    x = 2,955.21

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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.