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Finding the Fourth Proportional to 2,803.82, 3,868.98 and 1,624.67

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Solution

The fourth proportional to 2,803.82, 3,868.98 and 1,624.67 is: 2,241.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.82 : 3,868.98 = 1,624.67 : x
  2. Step 2: Convert to fraction form
    2,803.82/3,868.98 = 1,624.67/x
  3. Step 3: Cross multiply
    2,803.82x = 3,868.98 × 1,624.67
  4. Step 4: Simplify right side
    2,803.82x = 6,285,815.74
  5. Step 5: Solve for x
    x = 6,285,815.74/2,803.82
  6. Step 6: Final answer
    x = 2,241.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.