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Finding the Fourth Proportional to 3,014.74, 4,521.96 and 823.42

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Solution

The fourth proportional to 3,014.74, 4,521.96 and 823.42 is: 1,235.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,014.74 : 4,521.96 = 823.42 : x
  2. Step 2: Convert to fraction form
    3,014.74/4,521.96 = 823.42/x
  3. Step 3: Cross multiply
    3,014.74x = 4,521.96 × 823.42
  4. Step 4: Simplify right side
    3,014.74x = 3,723,472.30
  5. Step 5: Solve for x
    x = 3,723,472.30/3,014.74
  6. Step 6: Final answer
    x = 1,235.09

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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.