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Finding the Fourth Proportional to 2,332.70, 3,499.04 and 2,190.14

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Solution

The fourth proportional to 2,332.70, 3,499.04 and 2,190.14 is: 3,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.70 : 3,499.04 = 2,190.14 : x
  2. Step 2: Convert to fraction form
    2,332.70/3,499.04 = 2,190.14/x
  3. Step 3: Cross multiply
    2,332.70x = 3,499.04 × 2,190.14
  4. Step 4: Simplify right side
    2,332.70x = 7,663,375.45
  5. Step 5: Solve for x
    x = 7,663,375.45/2,332.70
  6. Step 6: Final answer
    x = 3,285.20

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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.