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Finding the Fourth Proportional to 2,043.72, 3,065.56 and 744.64

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Solution

The fourth proportional to 2,043.72, 3,065.56 and 744.64 is: 1,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.72 : 3,065.56 = 744.64 : x
  2. Step 2: Convert to fraction form
    2,043.72/3,065.56 = 744.64/x
  3. Step 3: Cross multiply
    2,043.72x = 3,065.56 × 744.64
  4. Step 4: Simplify right side
    2,043.72x = 2,282,738.60
  5. Step 5: Solve for x
    x = 2,282,738.60/2,043.72
  6. Step 6: Final answer
    x = 1,116.95

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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.