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Finding the Fourth Proportional to 3,205.76, 4,424.16 and 2,026.40

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Solution

The fourth proportional to 3,205.76, 4,424.16 and 2,026.40 is: 2,796.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.76 : 4,424.16 = 2,026.40 : x
  2. Step 2: Convert to fraction form
    3,205.76/4,424.16 = 2,026.40/x
  3. Step 3: Cross multiply
    3,205.76x = 4,424.16 × 2,026.40
  4. Step 4: Simplify right side
    3,205.76x = 8,965,117.82
  5. Step 5: Solve for x
    x = 8,965,117.82/3,205.76
  6. Step 6: Final answer
    x = 2,796.57

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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.