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Finding the Fourth Proportional to 3,014.86, 4,522.44 and 936.28

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Solution

The fourth proportional to 3,014.86, 4,522.44 and 936.28 is: 1,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.86 : 4,522.44 = 936.28 : x
  2. Step 2: Convert to fraction form
    3,014.86/4,522.44 = 936.28/x
  3. Step 3: Cross multiply
    3,014.86x = 4,522.44 × 936.28
  4. Step 4: Simplify right side
    3,014.86x = 4,234,270.12
  5. Step 5: Solve for x
    x = 4,234,270.12/3,014.86
  6. Step 6: Final answer
    x = 1,404.47

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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.