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Finding the Fourth Proportional to 1,744.71, 2,405.74 and 1,271.78

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Solution

The fourth proportional to 1,744.71, 2,405.74 and 1,271.78 is: 1,753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.71 : 2,405.74 = 1,271.78 : x
  2. Step 2: Convert to fraction form
    1,744.71/2,405.74 = 1,271.78/x
  3. Step 3: Cross multiply
    1,744.71x = 2,405.74 × 1,271.78
  4. Step 4: Simplify right side
    1,744.71x = 3,059,559.66
  5. Step 5: Solve for x
    x = 3,059,559.66/1,744.71
  6. Step 6: Final answer
    x = 1,753.62

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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.