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Finding the Fourth Proportional to 2,615.81, 3,922.74 and 766.44

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Solution

The fourth proportional to 2,615.81, 3,922.74 and 766.44 is: 1,149.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,615.81 : 3,922.74 = 766.44 : x
  2. Step 2: Convert to fraction form
    2,615.81/3,922.74 = 766.44/x
  3. Step 3: Cross multiply
    2,615.81x = 3,922.74 × 766.44
  4. Step 4: Simplify right side
    2,615.81x = 3,006,544.85
  5. Step 5: Solve for x
    x = 3,006,544.85/2,615.81
  6. Step 6: Final answer
    x = 1,149.38

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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.