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Finding the Fourth Proportional to 2,794.06, 3,854.10 and 1,658.97

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Solution

The fourth proportional to 2,794.06, 3,854.10 and 1,658.97 is: 2,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.06 : 3,854.10 = 1,658.97 : x
  2. Step 2: Convert to fraction form
    2,794.06/3,854.10 = 1,658.97/x
  3. Step 3: Cross multiply
    2,794.06x = 3,854.10 × 1,658.97
  4. Step 4: Simplify right side
    2,794.06x = 6,393,815.36
  5. Step 5: Solve for x
    x = 6,393,815.36/2,794.06
  6. Step 6: Final answer
    x = 2,288.36

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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.