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Finding the Fourth Proportional to 2,756.56, 3,804.16 and 1,972.48

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Solution

The fourth proportional to 2,756.56, 3,804.16 and 1,972.48 is: 2,722.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.56 : 3,804.16 = 1,972.48 : x
  2. Step 2: Convert to fraction form
    2,756.56/3,804.16 = 1,972.48/x
  3. Step 3: Cross multiply
    2,756.56x = 3,804.16 × 1,972.48
  4. Step 4: Simplify right side
    2,756.56x = 7,503,629.52
  5. Step 5: Solve for x
    x = 7,503,629.52/2,756.56
  6. Step 6: Final answer
    x = 2,722.10

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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.