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Finding the Fourth Proportional to 2,248, 3,379.20 and 2,087.68

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Solution

The fourth proportional to 2,248, 3,379.20 and 2,087.68 is: 3,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,248 : 3,379.20 = 2,087.68 : x
  2. Step 2: Convert to fraction form
    2,248/3,379.20 = 2,087.68/x
  3. Step 3: Cross multiply
    2,248x = 3,379.20 × 2,087.68
  4. Step 4: Simplify right side
    2,248x = 7,054,688.26
  5. Step 5: Solve for x
    x = 7,054,688.26/2,248
  6. Step 6: Final answer
    x = 3,138.21

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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.