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Finding the Fourth Proportional to 2,073.44, 3,110.22 and 612.48

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Solution

The fourth proportional to 2,073.44, 3,110.22 and 612.48 is: 918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.44 : 3,110.22 = 612.48 : x
  2. Step 2: Convert to fraction form
    2,073.44/3,110.22 = 612.48/x
  3. Step 3: Cross multiply
    2,073.44x = 3,110.22 × 612.48
  4. Step 4: Simplify right side
    2,073.44x = 1,904,947.55
  5. Step 5: Solve for x
    x = 1,904,947.55/2,073.44
  6. Step 6: Final answer
    x = 918.74

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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.