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Finding the Fourth Proportional to 3,014.92, 4,522.33 and 823.64

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Solution

The fourth proportional to 3,014.92, 4,522.33 and 823.64 is: 1,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.92 : 4,522.33 = 823.64 : x
  2. Step 2: Convert to fraction form
    3,014.92/4,522.33 = 823.64/x
  3. Step 3: Cross multiply
    3,014.92x = 4,522.33 × 823.64
  4. Step 4: Simplify right side
    3,014.92x = 3,724,767.76
  5. Step 5: Solve for x
    x = 3,724,767.76/3,014.92
  6. Step 6: Final answer
    x = 1,235.44

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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.