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Finding the Fourth Proportional to 2,193.38, 3,026.87 and 1,309.16

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Solution

The fourth proportional to 2,193.38, 3,026.87 and 1,309.16 is: 1,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.38 : 3,026.87 = 1,309.16 : x
  2. Step 2: Convert to fraction form
    2,193.38/3,026.87 = 1,309.16/x
  3. Step 3: Cross multiply
    2,193.38x = 3,026.87 × 1,309.16
  4. Step 4: Simplify right side
    2,193.38x = 3,962,663.06
  5. Step 5: Solve for x
    x = 3,962,663.06/2,193.38
  6. Step 6: Final answer
    x = 1,806.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.