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Finding the Fourth Proportional to 2,014.73, 3,022.23 and 553.76

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Solution

The fourth proportional to 2,014.73, 3,022.23 and 553.76 is: 830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.73 : 3,022.23 = 553.76 : x
  2. Step 2: Convert to fraction form
    2,014.73/3,022.23 = 553.76/x
  3. Step 3: Cross multiply
    2,014.73x = 3,022.23 × 553.76
  4. Step 4: Simplify right side
    2,014.73x = 1,673,590.08
  5. Step 5: Solve for x
    x = 1,673,590.08/2,014.73
  6. Step 6: Final answer
    x = 830.68

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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.