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Finding the Fourth Proportional to 1,614.54, 2,243.87 and 1,597.26

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Solution

The fourth proportional to 1,614.54, 2,243.87 and 1,597.26 is: 2,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.54 : 2,243.87 = 1,597.26 : x
  2. Step 2: Convert to fraction form
    1,614.54/2,243.87 = 1,597.26/x
  3. Step 3: Cross multiply
    1,614.54x = 2,243.87 × 1,597.26
  4. Step 4: Simplify right side
    1,614.54x = 3,584,035.81
  5. Step 5: Solve for x
    x = 3,584,035.81/1,614.54
  6. Step 6: Final answer
    x = 2,219.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.