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Finding the Fourth Proportional to 2,284.62, 3,427.10 and 986.10

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Solution

The fourth proportional to 2,284.62, 3,427.10 and 986.10 is: 1,479.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.62 : 3,427.10 = 986.10 : x
  2. Step 2: Convert to fraction form
    2,284.62/3,427.10 = 986.10/x
  3. Step 3: Cross multiply
    2,284.62x = 3,427.10 × 986.10
  4. Step 4: Simplify right side
    2,284.62x = 3,379,463.31
  5. Step 5: Solve for x
    x = 3,379,463.31/2,284.62
  6. Step 6: Final answer
    x = 1,479.22

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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.