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Finding the Fourth Proportional to 1,883.62, 2,823.38 and 1,608.88

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Solution

The fourth proportional to 1,883.62, 2,823.38 and 1,608.88 is: 2,411.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.62 : 2,823.38 = 1,608.88 : x
  2. Step 2: Convert to fraction form
    1,883.62/2,823.38 = 1,608.88/x
  3. Step 3: Cross multiply
    1,883.62x = 2,823.38 × 1,608.88
  4. Step 4: Simplify right side
    1,883.62x = 4,542,480.36
  5. Step 5: Solve for x
    x = 4,542,480.36/1,883.62
  6. Step 6: Final answer
    x = 2,411.57

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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.