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Finding the Fourth Proportional to 3,074.52, 4,611.78 and 766.02

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Solution

The fourth proportional to 3,074.52, 4,611.78 and 766.02 is: 1,149.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.52 : 4,611.78 = 766.02 : x
  2. Step 2: Convert to fraction form
    3,074.52/4,611.78 = 766.02/x
  3. Step 3: Cross multiply
    3,074.52x = 4,611.78 × 766.02
  4. Step 4: Simplify right side
    3,074.52x = 3,532,715.72
  5. Step 5: Solve for x
    x = 3,532,715.72/3,074.52
  6. Step 6: Final answer
    x = 1,149.03

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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.