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Finding the Fourth Proportional to 1,789.10, 2,468.94 and 992.48

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Solution

The fourth proportional to 1,789.10, 2,468.94 and 992.48 is: 1,369.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.10 : 2,468.94 = 992.48 : x
  2. Step 2: Convert to fraction form
    1,789.10/2,468.94 = 992.48/x
  3. Step 3: Cross multiply
    1,789.10x = 2,468.94 × 992.48
  4. Step 4: Simplify right side
    1,789.10x = 2,450,373.57
  5. Step 5: Solve for x
    x = 2,450,373.57/1,789.10
  6. Step 6: Final answer
    x = 1,369.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.