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Finding the Fourth Proportional to 2,228.85, 3,340.17 and 1,937.03

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Solution

The fourth proportional to 2,228.85, 3,340.17 and 1,937.03 is: 2,902.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.85 : 3,340.17 = 1,937.03 : x
  2. Step 2: Convert to fraction form
    2,228.85/3,340.17 = 1,937.03/x
  3. Step 3: Cross multiply
    2,228.85x = 3,340.17 × 1,937.03
  4. Step 4: Simplify right side
    2,228.85x = 6,470,009.50
  5. Step 5: Solve for x
    x = 6,470,009.50/2,228.85
  6. Step 6: Final answer
    x = 2,902.85

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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.