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Finding the Fourth Proportional to 2,538.32, 3,799.58 and 2,322.99

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Solution

The fourth proportional to 2,538.32, 3,799.58 and 2,322.99 is: 3,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.32 : 3,799.58 = 2,322.99 : x
  2. Step 2: Convert to fraction form
    2,538.32/3,799.58 = 2,322.99/x
  3. Step 3: Cross multiply
    2,538.32x = 3,799.58 × 2,322.99
  4. Step 4: Simplify right side
    2,538.32x = 8,826,374.73
  5. Step 5: Solve for x
    x = 8,826,374.73/2,538.32
  6. Step 6: Final answer
    x = 3,477.26

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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.