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Finding the Fourth Proportional to 1,309.31, 1,806.30 and 1,109.29

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Solution

The fourth proportional to 1,309.31, 1,806.30 and 1,109.29 is: 1,530.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.31 : 1,806.30 = 1,109.29 : x
  2. Step 2: Convert to fraction form
    1,309.31/1,806.30 = 1,109.29/x
  3. Step 3: Cross multiply
    1,309.31x = 1,806.30 × 1,109.29
  4. Step 4: Simplify right side
    1,309.31x = 2,003,710.53
  5. Step 5: Solve for x
    x = 2,003,710.53/1,309.31
  6. Step 6: Final answer
    x = 1,530.36

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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.