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Finding the Fourth Proportional to 1,893.24, 2,612.22 and 1,065.24

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Solution

The fourth proportional to 1,893.24, 2,612.22 and 1,065.24 is: 1,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,893.24 : 2,612.22 = 1,065.24 : x
  2. Step 2: Convert to fraction form
    1,893.24/2,612.22 = 1,065.24/x
  3. Step 3: Cross multiply
    1,893.24x = 2,612.22 × 1,065.24
  4. Step 4: Simplify right side
    1,893.24x = 2,782,641.23
  5. Step 5: Solve for x
    x = 2,782,641.23/1,893.24
  6. Step 6: Final answer
    x = 1,469.78

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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.