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Finding the Fourth Proportional to 2,324.67, 3,207.57 and 1,330.28

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Solution

The fourth proportional to 2,324.67, 3,207.57 and 1,330.28 is: 1,835.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.67 : 3,207.57 = 1,330.28 : x
  2. Step 2: Convert to fraction form
    2,324.67/3,207.57 = 1,330.28/x
  3. Step 3: Cross multiply
    2,324.67x = 3,207.57 × 1,330.28
  4. Step 4: Simplify right side
    2,324.67x = 4,266,966.22
  5. Step 5: Solve for x
    x = 4,266,966.22/2,324.67
  6. Step 6: Final answer
    x = 1,835.51

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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.