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Finding the Fourth Proportional to 1,614.14, 2,228.55 and 993.50

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Solution

The fourth proportional to 1,614.14, 2,228.55 and 993.50 is: 1,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.14 : 2,228.55 = 993.50 : x
  2. Step 2: Convert to fraction form
    1,614.14/2,228.55 = 993.50/x
  3. Step 3: Cross multiply
    1,614.14x = 2,228.55 × 993.50
  4. Step 4: Simplify right side
    1,614.14x = 2,214,064.43
  5. Step 5: Solve for x
    x = 2,214,064.43/1,614.14
  6. Step 6: Final answer
    x = 1,371.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.