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Finding the Fourth Proportional to 2,147.01, 3,218.90 and 913.38

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Solution

The fourth proportional to 2,147.01, 3,218.90 and 913.38 is: 1,369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.01 : 3,218.90 = 913.38 : x
  2. Step 2: Convert to fraction form
    2,147.01/3,218.90 = 913.38/x
  3. Step 3: Cross multiply
    2,147.01x = 3,218.90 × 913.38
  4. Step 4: Simplify right side
    2,147.01x = 2,940,074.32
  5. Step 5: Solve for x
    x = 2,940,074.32/2,147.01
  6. Step 6: Final answer
    x = 1,369.38

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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.