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Finding the Fourth Proportional to 3,278.34, 4,907.84 and 2,165.71

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Solution

The fourth proportional to 3,278.34, 4,907.84 and 2,165.71 is: 3,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.34 : 4,907.84 = 2,165.71 : x
  2. Step 2: Convert to fraction form
    3,278.34/4,907.84 = 2,165.71/x
  3. Step 3: Cross multiply
    3,278.34x = 4,907.84 × 2,165.71
  4. Step 4: Simplify right side
    3,278.34x = 10,628,958.17
  5. Step 5: Solve for x
    x = 10,628,958.17/3,278.34
  6. Step 6: Final answer
    x = 3,242.18

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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.