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Finding the Fourth Proportional to 2,065.40, 3,097.36 and 748.82

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Solution

The fourth proportional to 2,065.40, 3,097.36 and 748.82 is: 1,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.40 : 3,097.36 = 748.82 : x
  2. Step 2: Convert to fraction form
    2,065.40/3,097.36 = 748.82/x
  3. Step 3: Cross multiply
    2,065.40x = 3,097.36 × 748.82
  4. Step 4: Simplify right side
    2,065.40x = 2,319,365.12
  5. Step 5: Solve for x
    x = 2,319,365.12/2,065.40
  6. Step 6: Final answer
    x = 1,122.96

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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.