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Finding the Fourth Proportional to 2,641.12, 3,959.06 and 1,471.66

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Solution

The fourth proportional to 2,641.12, 3,959.06 and 1,471.66 is: 2,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.12 : 3,959.06 = 1,471.66 : x
  2. Step 2: Convert to fraction form
    2,641.12/3,959.06 = 1,471.66/x
  3. Step 3: Cross multiply
    2,641.12x = 3,959.06 × 1,471.66
  4. Step 4: Simplify right side
    2,641.12x = 5,826,390.24
  5. Step 5: Solve for x
    x = 5,826,390.24/2,641.12
  6. Step 6: Final answer
    x = 2,206.03

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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.