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Finding the Fourth Proportional to 2,538.54, 3,808.20 and 807

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Solution

The fourth proportional to 2,538.54, 3,808.20 and 807 is: 1,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.54 : 3,808.20 = 807 : x
  2. Step 2: Convert to fraction form
    2,538.54/3,808.20 = 807/x
  3. Step 3: Cross multiply
    2,538.54x = 3,808.20 × 807
  4. Step 4: Simplify right side
    2,538.54x = 3,073,217.40
  5. Step 5: Solve for x
    x = 3,073,217.40/2,538.54
  6. Step 6: Final answer
    x = 1,210.62

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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.