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Finding the Fourth Proportional to 3,049.95, 4,575.23 and 828.82

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Solution

The fourth proportional to 3,049.95, 4,575.23 and 828.82 is: 1,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049.95 : 4,575.23 = 828.82 : x
  2. Step 2: Convert to fraction form
    3,049.95/4,575.23 = 828.82/x
  3. Step 3: Cross multiply
    3,049.95x = 4,575.23 × 828.82
  4. Step 4: Simplify right side
    3,049.95x = 3,792,064.34
  5. Step 5: Solve for x
    x = 3,792,064.34/3,049.95
  6. Step 6: Final answer
    x = 1,243.32

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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.