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Finding the Fourth Proportional to 2,538.77, 3,798.23 and 1,499.13

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Solution

The fourth proportional to 2,538.77, 3,798.23 and 1,499.13 is: 2,242.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.77 : 3,798.23 = 1,499.13 : x
  2. Step 2: Convert to fraction form
    2,538.77/3,798.23 = 1,499.13/x
  3. Step 3: Cross multiply
    2,538.77x = 3,798.23 × 1,499.13
  4. Step 4: Simplify right side
    2,538.77x = 5,694,033.04
  5. Step 5: Solve for x
    x = 5,694,033.04/2,538.77
  6. Step 6: Final answer
    x = 2,242.84

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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.