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Finding the Fourth Proportional to 2,864.79, 4,297.38 and 784.94

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Solution

The fourth proportional to 2,864.79, 4,297.38 and 784.94 is: 1,177.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.79 : 4,297.38 = 784.94 : x
  2. Step 2: Convert to fraction form
    2,864.79/4,297.38 = 784.94/x
  3. Step 3: Cross multiply
    2,864.79x = 4,297.38 × 784.94
  4. Step 4: Simplify right side
    2,864.79x = 3,373,163.97
  5. Step 5: Solve for x
    x = 3,373,163.97/2,864.79
  6. Step 6: Final answer
    x = 1,177.46

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1.5x scale

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.