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Finding the Fourth Proportional to 2,789.70, 4,184.46 and 709.77

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Solution

The fourth proportional to 2,789.70, 4,184.46 and 709.77 is: 1,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.70 : 4,184.46 = 709.77 : x
  2. Step 2: Convert to fraction form
    2,789.70/4,184.46 = 709.77/x
  3. Step 3: Cross multiply
    2,789.70x = 4,184.46 × 709.77
  4. Step 4: Simplify right side
    2,789.70x = 2,970,004.17
  5. Step 5: Solve for x
    x = 2,970,004.17/2,789.70
  6. Step 6: Final answer
    x = 1,064.63

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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.