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Finding the Fourth Proportional to 1,584.18, 2,185.97 and 875.97

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Solution

The fourth proportional to 1,584.18, 2,185.97 and 875.97 is: 1,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.18 : 2,185.97 = 875.97 : x
  2. Step 2: Convert to fraction form
    1,584.18/2,185.97 = 875.97/x
  3. Step 3: Cross multiply
    1,584.18x = 2,185.97 × 875.97
  4. Step 4: Simplify right side
    1,584.18x = 1,914,839.76
  5. Step 5: Solve for x
    x = 1,914,839.76/1,584.18
  6. Step 6: Final answer
    x = 1,208.73

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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.