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Finding the Fourth Proportional to 1,724.88, 2,584.74 and 750.44

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Solution

The fourth proportional to 1,724.88, 2,584.74 and 750.44 is: 1,124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.88 : 2,584.74 = 750.44 : x
  2. Step 2: Convert to fraction form
    1,724.88/2,584.74 = 750.44/x
  3. Step 3: Cross multiply
    1,724.88x = 2,584.74 × 750.44
  4. Step 4: Simplify right side
    1,724.88x = 1,939,692.29
  5. Step 5: Solve for x
    x = 1,939,692.29/1,724.88
  6. Step 6: Final answer
    x = 1,124.54

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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.