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Finding the Fourth Proportional to 2,043.62, 3,065.12 and 745.09

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Solution

The fourth proportional to 2,043.62, 3,065.12 and 745.09 is: 1,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.62 : 3,065.12 = 745.09 : x
  2. Step 2: Convert to fraction form
    2,043.62/3,065.12 = 745.09/x
  3. Step 3: Cross multiply
    2,043.62x = 3,065.12 × 745.09
  4. Step 4: Simplify right side
    2,043.62x = 2,283,790.26
  5. Step 5: Solve for x
    x = 2,283,790.26/2,043.62
  6. Step 6: Final answer
    x = 1,117.52

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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.