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Finding the Fourth Proportional to 2,042.69, 3,065.79 and 1,263.38

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Solution

The fourth proportional to 2,042.69, 3,065.79 and 1,263.38 is: 1,896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.69 : 3,065.79 = 1,263.38 : x
  2. Step 2: Convert to fraction form
    2,042.69/3,065.79 = 1,263.38/x
  3. Step 3: Cross multiply
    2,042.69x = 3,065.79 × 1,263.38
  4. Step 4: Simplify right side
    2,042.69x = 3,873,253.22
  5. Step 5: Solve for x
    x = 3,873,253.22/2,042.69
  6. Step 6: Final answer
    x = 1,896.16

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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.