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Finding the Fourth Proportional to 3,041.32, 4,562.20 and 850.20

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Solution

The fourth proportional to 3,041.32, 4,562.20 and 850.20 is: 1,275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.32 : 4,562.20 = 850.20 : x
  2. Step 2: Convert to fraction form
    3,041.32/4,562.20 = 850.20/x
  3. Step 3: Cross multiply
    3,041.32x = 4,562.20 × 850.20
  4. Step 4: Simplify right side
    3,041.32x = 3,878,782.44
  5. Step 5: Solve for x
    x = 3,878,782.44/3,041.32
  6. Step 6: Final answer
    x = 1,275.36

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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.