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Finding the Fourth Proportional to 1,724.57, 2,584.79 and 992.63

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Solution

The fourth proportional to 1,724.57, 2,584.79 and 992.63 is: 1,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.57 : 2,584.79 = 992.63 : x
  2. Step 2: Convert to fraction form
    1,724.57/2,584.79 = 992.63/x
  3. Step 3: Cross multiply
    1,724.57x = 2,584.79 × 992.63
  4. Step 4: Simplify right side
    1,724.57x = 2,565,745.32
  5. Step 5: Solve for x
    x = 2,565,745.32/1,724.57
  6. Step 6: Final answer
    x = 1,487.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.