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Finding the Fourth Proportional to 1,239.45, 1,859.49 and 1,022.64

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Solution

The fourth proportional to 1,239.45, 1,859.49 and 1,022.64 is: 1,534.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.45 : 1,859.49 = 1,022.64 : x
  2. Step 2: Convert to fraction form
    1,239.45/1,859.49 = 1,022.64/x
  3. Step 3: Cross multiply
    1,239.45x = 1,859.49 × 1,022.64
  4. Step 4: Simplify right side
    1,239.45x = 1,901,588.85
  5. Step 5: Solve for x
    x = 1,901,588.85/1,239.45
  6. Step 6: Final answer
    x = 1,534.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.