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Finding the Fourth Proportional to 2,014.67, 3,021.66 and 533.91

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Solution

The fourth proportional to 2,014.67, 3,021.66 and 533.91 is: 800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.67 : 3,021.66 = 533.91 : x
  2. Step 2: Convert to fraction form
    2,014.67/3,021.66 = 533.91/x
  3. Step 3: Cross multiply
    2,014.67x = 3,021.66 × 533.91
  4. Step 4: Simplify right side
    2,014.67x = 1,613,290.33
  5. Step 5: Solve for x
    x = 1,613,290.33/2,014.67
  6. Step 6: Final answer
    x = 800.77

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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.