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Finding the Fourth Proportional to 2,920.95, 4,382.19 and 1,277.82

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Solution

The fourth proportional to 2,920.95, 4,382.19 and 1,277.82 is: 1,917.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,920.95 : 4,382.19 = 1,277.82 : x
  2. Step 2: Convert to fraction form
    2,920.95/4,382.19 = 1,277.82/x
  3. Step 3: Cross multiply
    2,920.95x = 4,382.19 × 1,277.82
  4. Step 4: Simplify right side
    2,920.95x = 5,599,650.03
  5. Step 5: Solve for x
    x = 5,599,650.03/2,920.95
  6. Step 6: Final answer
    x = 1,917.06

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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.