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Finding the Fourth Proportional to 2,901.42, 3,998.57 and 2,154.20

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Solution

The fourth proportional to 2,901.42, 3,998.57 and 2,154.20 is: 2,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.42 : 3,998.57 = 2,154.20 : x
  2. Step 2: Convert to fraction form
    2,901.42/3,998.57 = 2,154.20/x
  3. Step 3: Cross multiply
    2,901.42x = 3,998.57 × 2,154.20
  4. Step 4: Simplify right side
    2,901.42x = 8,613,688.73
  5. Step 5: Solve for x
    x = 8,613,688.73/2,901.42
  6. Step 6: Final answer
    x = 2,968.78

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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.