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Finding the Fourth Proportional to 2,353.82, 3,270.06 and 2,332.40

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Solution

The fourth proportional to 2,353.82, 3,270.06 and 2,332.40 is: 3,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.82 : 3,270.06 = 2,332.40 : x
  2. Step 2: Convert to fraction form
    2,353.82/3,270.06 = 2,332.40/x
  3. Step 3: Cross multiply
    2,353.82x = 3,270.06 × 2,332.40
  4. Step 4: Simplify right side
    2,353.82x = 7,627,071.59
  5. Step 5: Solve for x
    x = 7,627,071.59/2,353.82
  6. Step 6: Final answer
    x = 3,240.30

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.