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Finding the Fourth Proportional to 3,202.84, 4,804.68 and 1,559.17

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Solution

The fourth proportional to 3,202.84, 4,804.68 and 1,559.17 is: 2,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.84 : 4,804.68 = 1,559.17 : x
  2. Step 2: Convert to fraction form
    3,202.84/4,804.68 = 1,559.17/x
  3. Step 3: Cross multiply
    3,202.84x = 4,804.68 × 1,559.17
  4. Step 4: Simplify right side
    3,202.84x = 7,491,312.92
  5. Step 5: Solve for x
    x = 7,491,312.92/3,202.84
  6. Step 6: Final answer
    x = 2,338.96

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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.