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Finding the Fourth Proportional to 2,363.16, 3,542.96 and 1,630.64

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Solution

The fourth proportional to 2,363.16, 3,542.96 and 1,630.64 is: 2,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.16 : 3,542.96 = 1,630.64 : x
  2. Step 2: Convert to fraction form
    2,363.16/3,542.96 = 1,630.64/x
  3. Step 3: Cross multiply
    2,363.16x = 3,542.96 × 1,630.64
  4. Step 4: Simplify right side
    2,363.16x = 5,777,292.29
  5. Step 5: Solve for x
    x = 5,777,292.29/2,363.16
  6. Step 6: Final answer
    x = 2,444.73

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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.