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Finding the Fourth Proportional to 1,597.69, 2,204.37 and 959.46

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Solution

The fourth proportional to 1,597.69, 2,204.37 and 959.46 is: 1,323.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.69 : 2,204.37 = 959.46 : x
  2. Step 2: Convert to fraction form
    1,597.69/2,204.37 = 959.46/x
  3. Step 3: Cross multiply
    1,597.69x = 2,204.37 × 959.46
  4. Step 4: Simplify right side
    1,597.69x = 2,115,000.04
  5. Step 5: Solve for x
    x = 2,115,000.04/1,597.69
  6. Step 6: Final answer
    x = 1,323.79

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