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Finding the Fourth Proportional to 1,584.28, 2,185.36 and 993.80

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Solution

The fourth proportional to 1,584.28, 2,185.36 and 993.80 is: 1,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.28 : 2,185.36 = 993.80 : x
  2. Step 2: Convert to fraction form
    1,584.28/2,185.36 = 993.80/x
  3. Step 3: Cross multiply
    1,584.28x = 2,185.36 × 993.80
  4. Step 4: Simplify right side
    1,584.28x = 2,171,810.77
  5. Step 5: Solve for x
    x = 2,171,810.77/1,584.28
  6. Step 6: Final answer
    x = 1,370.85

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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.