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Finding the Fourth Proportional to 2,864.77, 4,297.08 and 784.90

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Solution

The fourth proportional to 2,864.77, 4,297.08 and 784.90 is: 1,177.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.77 : 4,297.08 = 784.90 : x
  2. Step 2: Convert to fraction form
    2,864.77/4,297.08 = 784.90/x
  3. Step 3: Cross multiply
    2,864.77x = 4,297.08 × 784.90
  4. Step 4: Simplify right side
    2,864.77x = 3,372,778.09
  5. Step 5: Solve for x
    x = 3,372,778.09/2,864.77
  6. Step 6: Final answer
    x = 1,177.33

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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.