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Finding the Fourth Proportional to 2,909.78, 4,331.76 and 2,892.49

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Solution

The fourth proportional to 2,909.78, 4,331.76 and 2,892.49 is: 4,306.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.78 : 4,331.76 = 2,892.49 : x
  2. Step 2: Convert to fraction form
    2,909.78/4,331.76 = 2,892.49/x
  3. Step 3: Cross multiply
    2,909.78x = 4,331.76 × 2,892.49
  4. Step 4: Simplify right side
    2,909.78x = 12,529,550.82
  5. Step 5: Solve for x
    x = 12,529,550.82/2,909.78
  6. Step 6: Final answer
    x = 4,306.01

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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.