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Finding the Fourth Proportional to 1,654.36, 2,282.92 and 991.24

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Solution

The fourth proportional to 1,654.36, 2,282.92 and 991.24 is: 1,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.36 : 2,282.92 = 991.24 : x
  2. Step 2: Convert to fraction form
    1,654.36/2,282.92 = 991.24/x
  3. Step 3: Cross multiply
    1,654.36x = 2,282.92 × 991.24
  4. Step 4: Simplify right side
    1,654.36x = 2,262,913.44
  5. Step 5: Solve for x
    x = 2,262,913.44/1,654.36
  6. Step 6: Final answer
    x = 1,367.85

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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.