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Finding the Fourth Proportional to 2,326.01, 3,209.86 and 1,278.05

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Solution

The fourth proportional to 2,326.01, 3,209.86 and 1,278.05 is: 1,763.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.01 : 3,209.86 = 1,278.05 : x
  2. Step 2: Convert to fraction form
    2,326.01/3,209.86 = 1,278.05/x
  3. Step 3: Cross multiply
    2,326.01x = 3,209.86 × 1,278.05
  4. Step 4: Simplify right side
    2,326.01x = 4,102,371.20
  5. Step 5: Solve for x
    x = 4,102,371.20/2,326.01
  6. Step 6: Final answer
    x = 1,763.69

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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.