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Finding the Fourth Proportional to 2,073.50, 3,110.28 and 774.98

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Solution

The fourth proportional to 2,073.50, 3,110.28 and 774.98 is: 1,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.50 : 3,110.28 = 774.98 : x
  2. Step 2: Convert to fraction form
    2,073.50/3,110.28 = 774.98/x
  3. Step 3: Cross multiply
    2,073.50x = 3,110.28 × 774.98
  4. Step 4: Simplify right side
    2,073.50x = 2,410,404.79
  5. Step 5: Solve for x
    x = 2,410,404.79/2,073.50
  6. Step 6: Final answer
    x = 1,162.48

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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.