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Finding the Fourth Proportional to 3,312.84, 4,969.86 and 1,366.44

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Solution

The fourth proportional to 3,312.84, 4,969.86 and 1,366.44 is: 2,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.84 : 4,969.86 = 1,366.44 : x
  2. Step 2: Convert to fraction form
    3,312.84/4,969.86 = 1,366.44/x
  3. Step 3: Cross multiply
    3,312.84x = 4,969.86 × 1,366.44
  4. Step 4: Simplify right side
    3,312.84x = 6,791,015.50
  5. Step 5: Solve for x
    x = 6,791,015.50/3,312.84
  6. Step 6: Final answer
    x = 2,049.91

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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.