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Finding the Fourth Proportional to 1,496.71, 2,243.49 and 716.23

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Solution

The fourth proportional to 1,496.71, 2,243.49 and 716.23 is: 1,073.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.71 : 2,243.49 = 716.23 : x
  2. Step 2: Convert to fraction form
    1,496.71/2,243.49 = 716.23/x
  3. Step 3: Cross multiply
    1,496.71x = 2,243.49 × 716.23
  4. Step 4: Simplify right side
    1,496.71x = 1,606,854.84
  5. Step 5: Solve for x
    x = 1,606,854.84/1,496.71
  6. Step 6: Final answer
    x = 1,073.59

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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.