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Finding the Fourth Proportional to 3,214.87, 4,823.16 and 1,366.09

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Solution

The fourth proportional to 3,214.87, 4,823.16 and 1,366.09 is: 2,049.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.87 : 4,823.16 = 1,366.09 : x
  2. Step 2: Convert to fraction form
    3,214.87/4,823.16 = 1,366.09/x
  3. Step 3: Cross multiply
    3,214.87x = 4,823.16 × 1,366.09
  4. Step 4: Simplify right side
    3,214.87x = 6,588,870.64
  5. Step 5: Solve for x
    x = 6,588,870.64/3,214.87
  6. Step 6: Final answer
    x = 2,049.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.