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Finding the Fourth Proportional to 2,262.12, 3,384.84 and 1,338.12

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Solution

The fourth proportional to 2,262.12, 3,384.84 and 1,338.12 is: 2,002.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.12 : 3,384.84 = 1,338.12 : x
  2. Step 2: Convert to fraction form
    2,262.12/3,384.84 = 1,338.12/x
  3. Step 3: Cross multiply
    2,262.12x = 3,384.84 × 1,338.12
  4. Step 4: Simplify right side
    2,262.12x = 4,529,322.10
  5. Step 5: Solve for x
    x = 4,529,322.10/2,262.12
  6. Step 6: Final answer
    x = 2,002.25

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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.