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Finding the Fourth Proportional to 1,654.26, 2,282.71 and 991.09

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Solution

The fourth proportional to 1,654.26, 2,282.71 and 991.09 is: 1,367.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.26 : 2,282.71 = 991.09 : x
  2. Step 2: Convert to fraction form
    1,654.26/2,282.71 = 991.09/x
  3. Step 3: Cross multiply
    1,654.26x = 2,282.71 × 991.09
  4. Step 4: Simplify right side
    1,654.26x = 2,262,366.10
  5. Step 5: Solve for x
    x = 2,262,366.10/1,654.26
  6. Step 6: Final answer
    x = 1,367.60

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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.