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Finding the Fourth Proportional to 2,363.60, 3,546.04 and 2,324.46

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Solution

The fourth proportional to 2,363.60, 3,546.04 and 2,324.46 is: 3,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.60 : 3,546.04 = 2,324.46 : x
  2. Step 2: Convert to fraction form
    2,363.60/3,546.04 = 2,324.46/x
  3. Step 3: Cross multiply
    2,363.60x = 3,546.04 × 2,324.46
  4. Step 4: Simplify right side
    2,363.60x = 8,242,628.14
  5. Step 5: Solve for x
    x = 8,242,628.14/2,363.60
  6. Step 6: Final answer
    x = 3,487.32

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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.