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Finding the Fourth Proportional to 2,014.70, 3,021.96 and 553.81

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Solution

The fourth proportional to 2,014.70, 3,021.96 and 553.81 is: 830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.70 : 3,021.96 = 553.81 : x
  2. Step 2: Convert to fraction form
    2,014.70/3,021.96 = 553.81/x
  3. Step 3: Cross multiply
    2,014.70x = 3,021.96 × 553.81
  4. Step 4: Simplify right side
    2,014.70x = 1,673,586.19
  5. Step 5: Solve for x
    x = 1,673,586.19/2,014.70
  6. Step 6: Final answer
    x = 830.69

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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.