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Finding the Fourth Proportional to 2,043.65, 3,065.94 and 745.11

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Solution

The fourth proportional to 2,043.65, 3,065.94 and 745.11 is: 1,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.65 : 3,065.94 = 745.11 : x
  2. Step 2: Convert to fraction form
    2,043.65/3,065.94 = 745.11/x
  3. Step 3: Cross multiply
    2,043.65x = 3,065.94 × 745.11
  4. Step 4: Simplify right side
    2,043.65x = 2,284,462.55
  5. Step 5: Solve for x
    x = 2,284,462.55/2,043.65
  6. Step 6: Final answer
    x = 1,117.83

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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.