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Finding the Fourth Proportional to 2,978.54, 4,109.63 and 1,799.39

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Solution

The fourth proportional to 2,978.54, 4,109.63 and 1,799.39 is: 2,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.54 : 4,109.63 = 1,799.39 : x
  2. Step 2: Convert to fraction form
    2,978.54/4,109.63 = 1,799.39/x
  3. Step 3: Cross multiply
    2,978.54x = 4,109.63 × 1,799.39
  4. Step 4: Simplify right side
    2,978.54x = 7,394,797.58
  5. Step 5: Solve for x
    x = 7,394,797.58/2,978.54
  6. Step 6: Final answer
    x = 2,482.70

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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.