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Finding the Fourth Proportional to 1,584.36, 2,185.89 and 920.97

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Solution

The fourth proportional to 1,584.36, 2,185.89 and 920.97 is: 1,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.36 : 2,185.89 = 920.97 : x
  2. Step 2: Convert to fraction form
    1,584.36/2,185.89 = 920.97/x
  3. Step 3: Cross multiply
    1,584.36x = 2,185.89 × 920.97
  4. Step 4: Simplify right side
    1,584.36x = 2,013,139.11
  5. Step 5: Solve for x
    x = 2,013,139.11/1,584.36
  6. Step 6: Final answer
    x = 1,270.63

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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.