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Finding the Fourth Proportional to 2,083.69, 3,126.02 and 913.69

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Solution

The fourth proportional to 2,083.69, 3,126.02 and 913.69 is: 1,370.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.69 : 3,126.02 = 913.69 : x
  2. Step 2: Convert to fraction form
    2,083.69/3,126.02 = 913.69/x
  3. Step 3: Cross multiply
    2,083.69x = 3,126.02 × 913.69
  4. Step 4: Simplify right side
    2,083.69x = 2,856,208.65
  5. Step 5: Solve for x
    x = 2,856,208.65/2,083.69
  6. Step 6: Final answer
    x = 1,370.75

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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.