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Finding the Fourth Proportional to 2,839.08, 4,233.10 and 2,730.80

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Solution

The fourth proportional to 2,839.08, 4,233.10 and 2,730.80 is: 4,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.08 : 4,233.10 = 2,730.80 : x
  2. Step 2: Convert to fraction form
    2,839.08/4,233.10 = 2,730.80/x
  3. Step 3: Cross multiply
    2,839.08x = 4,233.10 × 2,730.80
  4. Step 4: Simplify right side
    2,839.08x = 11,559,749.48
  5. Step 5: Solve for x
    x = 11,559,749.48/2,839.08
  6. Step 6: Final answer
    x = 4,071.65

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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.