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Finding the Fourth Proportional to 2,538.82, 3,808.83 and 807.45

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Solution

The fourth proportional to 2,538.82, 3,808.83 and 807.45 is: 1,211.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.82 : 3,808.83 = 807.45 : x
  2. Step 2: Convert to fraction form
    2,538.82/3,808.83 = 807.45/x
  3. Step 3: Cross multiply
    2,538.82x = 3,808.83 × 807.45
  4. Step 4: Simplify right side
    2,538.82x = 3,075,439.78
  5. Step 5: Solve for x
    x = 3,075,439.78/2,538.82
  6. Step 6: Final answer
    x = 1,211.37

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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.