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Finding the Fourth Proportional to 2,262.44, 3,400.04 and 1,338.14

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Solution

The fourth proportional to 2,262.44, 3,400.04 and 1,338.14 is: 2,010.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.44 : 3,400.04 = 1,338.14 : x
  2. Step 2: Convert to fraction form
    2,262.44/3,400.04 = 1,338.14/x
  3. Step 3: Cross multiply
    2,262.44x = 3,400.04 × 1,338.14
  4. Step 4: Simplify right side
    2,262.44x = 4,549,715.87
  5. Step 5: Solve for x
    x = 4,549,715.87/2,262.44
  6. Step 6: Final answer
    x = 2,010.98

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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.