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Finding the Fourth Proportional to 2,722.81, 3,756.18 and 1,975.13

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Solution

The fourth proportional to 2,722.81, 3,756.18 and 1,975.13 is: 2,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.81 : 3,756.18 = 1,975.13 : x
  2. Step 2: Convert to fraction form
    2,722.81/3,756.18 = 1,975.13/x
  3. Step 3: Cross multiply
    2,722.81x = 3,756.18 × 1,975.13
  4. Step 4: Simplify right side
    2,722.81x = 7,418,943.80
  5. Step 5: Solve for x
    x = 7,418,943.80/2,722.81
  6. Step 6: Final answer
    x = 2,724.74

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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.