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Finding the Fourth Proportional to 2,330.70, 3,496.04 and 2,188.14

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Solution

The fourth proportional to 2,330.70, 3,496.04 and 2,188.14 is: 3,282.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.70 : 3,496.04 = 2,188.14 : x
  2. Step 2: Convert to fraction form
    2,330.70/3,496.04 = 2,188.14/x
  3. Step 3: Cross multiply
    2,330.70x = 3,496.04 × 2,188.14
  4. Step 4: Simplify right side
    2,330.70x = 7,649,824.97
  5. Step 5: Solve for x
    x = 7,649,824.97/2,330.70
  6. Step 6: Final answer
    x = 3,282.20

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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.