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Finding the Fourth Proportional to 1,553.38, 2,322.87 and 1,202.74

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Solution

The fourth proportional to 1,553.38, 2,322.87 and 1,202.74 is: 1,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.38 : 2,322.87 = 1,202.74 : x
  2. Step 2: Convert to fraction form
    1,553.38/2,322.87 = 1,202.74/x
  3. Step 3: Cross multiply
    1,553.38x = 2,322.87 × 1,202.74
  4. Step 4: Simplify right side
    1,553.38x = 2,793,808.66
  5. Step 5: Solve for x
    x = 2,793,808.66/1,553.38
  6. Step 6: Final answer
    x = 1,798.54

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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.