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Finding the Fourth Proportional to 2,353.69, 3,239.86 and 2,132.26

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Solution

The fourth proportional to 2,353.69, 3,239.86 and 2,132.26 is: 2,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.69 : 3,239.86 = 2,132.26 : x
  2. Step 2: Convert to fraction form
    2,353.69/3,239.86 = 2,132.26/x
  3. Step 3: Cross multiply
    2,353.69x = 3,239.86 × 2,132.26
  4. Step 4: Simplify right side
    2,353.69x = 6,908,223.88
  5. Step 5: Solve for x
    x = 6,908,223.88/2,353.69
  6. Step 6: Final answer
    x = 2,935.06

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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.