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Finding the Fourth Proportional to 1,324.68, 1,828.28 and 1,185.52

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Solution

The fourth proportional to 1,324.68, 1,828.28 and 1,185.52 is: 1,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.68 : 1,828.28 = 1,185.52 : x
  2. Step 2: Convert to fraction form
    1,324.68/1,828.28 = 1,185.52/x
  3. Step 3: Cross multiply
    1,324.68x = 1,828.28 × 1,185.52
  4. Step 4: Simplify right side
    1,324.68x = 2,167,462.51
  5. Step 5: Solve for x
    x = 2,167,462.51/1,324.68
  6. Step 6: Final answer
    x = 1,636.22

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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.