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Finding the Fourth Proportional to 2,178.74, 3,003.84 and 1,779.97

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Solution

The fourth proportional to 2,178.74, 3,003.84 and 1,779.97 is: 2,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.74 : 3,003.84 = 1,779.97 : x
  2. Step 2: Convert to fraction form
    2,178.74/3,003.84 = 1,779.97/x
  3. Step 3: Cross multiply
    2,178.74x = 3,003.84 × 1,779.97
  4. Step 4: Simplify right side
    2,178.74x = 5,346,745.08
  5. Step 5: Solve for x
    x = 5,346,745.08/2,178.74
  6. Step 6: Final answer
    x = 2,454.05

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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.