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Finding the Fourth Proportional to 3,015.72, 4,522.98 and 823.88

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Solution

The fourth proportional to 3,015.72, 4,522.98 and 823.88 is: 1,235.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.72 : 4,522.98 = 823.88 : x
  2. Step 2: Convert to fraction form
    3,015.72/4,522.98 = 823.88/x
  3. Step 3: Cross multiply
    3,015.72x = 4,522.98 × 823.88
  4. Step 4: Simplify right side
    3,015.72x = 3,726,392.76
  5. Step 5: Solve for x
    x = 3,726,392.76/3,015.72
  6. Step 6: Final answer
    x = 1,235.66

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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.