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Finding the Fourth Proportional to 2,799.40, 3,860 and 1,789.76

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Solution

The fourth proportional to 2,799.40, 3,860 and 1,789.76 is: 2,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.40 : 3,860 = 1,789.76 : x
  2. Step 2: Convert to fraction form
    2,799.40/3,860 = 1,789.76/x
  3. Step 3: Cross multiply
    2,799.40x = 3,860 × 1,789.76
  4. Step 4: Simplify right side
    2,799.40x = 6,908,473.60
  5. Step 5: Solve for x
    x = 6,908,473.60/2,799.40
  6. Step 6: Final answer
    x = 2,467.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.