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Finding the Fourth Proportional to 2,878.64, 4,313.16 and 2,770.64

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Solution

The fourth proportional to 2,878.64, 4,313.16 and 2,770.64 is: 4,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.64 : 4,313.16 = 2,770.64 : x
  2. Step 2: Convert to fraction form
    2,878.64/4,313.16 = 2,770.64/x
  3. Step 3: Cross multiply
    2,878.64x = 4,313.16 × 2,770.64
  4. Step 4: Simplify right side
    2,878.64x = 11,950,213.62
  5. Step 5: Solve for x
    x = 11,950,213.62/2,878.64
  6. Step 6: Final answer
    x = 4,151.34

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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.