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Finding the Fourth Proportional to 2,468.34, 3,703.23 and 1,168.02

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Solution

The fourth proportional to 2,468.34, 3,703.23 and 1,168.02 is: 1,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.34 : 3,703.23 = 1,168.02 : x
  2. Step 2: Convert to fraction form
    2,468.34/3,703.23 = 1,168.02/x
  3. Step 3: Cross multiply
    2,468.34x = 3,703.23 × 1,168.02
  4. Step 4: Simplify right side
    2,468.34x = 4,325,446.70
  5. Step 5: Solve for x
    x = 4,325,446.70/2,468.34
  6. Step 6: Final answer
    x = 1,752.37

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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.