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Finding the Fourth Proportional to 2,549.46, 3,800.22 and 2,270.40

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Solution

The fourth proportional to 2,549.46, 3,800.22 and 2,270.40 is: 3,384.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.46 : 3,800.22 = 2,270.40 : x
  2. Step 2: Convert to fraction form
    2,549.46/3,800.22 = 2,270.40/x
  3. Step 3: Cross multiply
    2,549.46x = 3,800.22 × 2,270.40
  4. Step 4: Simplify right side
    2,549.46x = 8,628,019.49
  5. Step 5: Solve for x
    x = 8,628,019.49/2,549.46
  6. Step 6: Final answer
    x = 3,384.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.