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Finding the Fourth Proportional to 2,959.74, 4,081.24 and 2,015.68

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Solution

The fourth proportional to 2,959.74, 4,081.24 and 2,015.68 is: 2,779.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.74 : 4,081.24 = 2,015.68 : x
  2. Step 2: Convert to fraction form
    2,959.74/4,081.24 = 2,015.68/x
  3. Step 3: Cross multiply
    2,959.74x = 4,081.24 × 2,015.68
  4. Step 4: Simplify right side
    2,959.74x = 8,226,473.84
  5. Step 5: Solve for x
    x = 8,226,473.84/2,959.74
  6. Step 6: Final answer
    x = 2,779.46

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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.