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Finding the Fourth Proportional to 2,193.54, 3,026.82 and 1,309.23

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Solution

The fourth proportional to 2,193.54, 3,026.82 and 1,309.23 is: 1,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.54 : 3,026.82 = 1,309.23 : x
  2. Step 2: Convert to fraction form
    2,193.54/3,026.82 = 1,309.23/x
  3. Step 3: Cross multiply
    2,193.54x = 3,026.82 × 1,309.23
  4. Step 4: Simplify right side
    2,193.54x = 3,962,803.55
  5. Step 5: Solve for x
    x = 3,962,803.55/2,193.54
  6. Step 6: Final answer
    x = 1,806.58

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