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Finding the Fourth Proportional to 2,346.68, 3,520.16 and 2,002.44

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Solution

The fourth proportional to 2,346.68, 3,520.16 and 2,002.44 is: 3,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,346.68 : 3,520.16 = 2,002.44 : x
  2. Step 2: Convert to fraction form
    2,346.68/3,520.16 = 2,002.44/x
  3. Step 3: Cross multiply
    2,346.68x = 3,520.16 × 2,002.44
  4. Step 4: Simplify right side
    2,346.68x = 7,048,909.19
  5. Step 5: Solve for x
    x = 7,048,909.19/2,346.68
  6. Step 6: Final answer
    x = 3,003.78

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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.