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Finding the Fourth Proportional to 2,624.70, 3,618.50 and 2,063

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Solution

The fourth proportional to 2,624.70, 3,618.50 and 2,063 is: 2,844.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.70 : 3,618.50 = 2,063 : x
  2. Step 2: Convert to fraction form
    2,624.70/3,618.50 = 2,063/x
  3. Step 3: Cross multiply
    2,624.70x = 3,618.50 × 2,063
  4. Step 4: Simplify right side
    2,624.70x = 7,464,965.50
  5. Step 5: Solve for x
    x = 7,464,965.50/2,624.70
  6. Step 6: Final answer
    x = 2,844.12

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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.