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Finding the Fourth Proportional to 1,309.26, 1,805.71 and 1,151.56

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Solution

The fourth proportional to 1,309.26, 1,805.71 and 1,151.56 is: 1,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.26 : 1,805.71 = 1,151.56 : x
  2. Step 2: Convert to fraction form
    1,309.26/1,805.71 = 1,151.56/x
  3. Step 3: Cross multiply
    1,309.26x = 1,805.71 × 1,151.56
  4. Step 4: Simplify right side
    1,309.26x = 2,079,383.41
  5. Step 5: Solve for x
    x = 2,079,383.41/1,309.26
  6. Step 6: Final answer
    x = 1,588.21

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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.