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Finding the Fourth Proportional to 3,157.42, 4,356.54 and 2,162.46

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Solution

The fourth proportional to 3,157.42, 4,356.54 and 2,162.46 is: 2,983.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.42 : 4,356.54 = 2,162.46 : x
  2. Step 2: Convert to fraction form
    3,157.42/4,356.54 = 2,162.46/x
  3. Step 3: Cross multiply
    3,157.42x = 4,356.54 × 2,162.46
  4. Step 4: Simplify right side
    3,157.42x = 9,420,843.49
  5. Step 5: Solve for x
    x = 9,420,843.49/3,157.42
  6. Step 6: Final answer
    x = 2,983.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.