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Finding the Fourth Proportional to 2,397.58, 3,588.92 and 1,299.22

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Solution

The fourth proportional to 2,397.58, 3,588.92 and 1,299.22 is: 1,944.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.58 : 3,588.92 = 1,299.22 : x
  2. Step 2: Convert to fraction form
    2,397.58/3,588.92 = 1,299.22/x
  3. Step 3: Cross multiply
    2,397.58x = 3,588.92 × 1,299.22
  4. Step 4: Simplify right side
    2,397.58x = 4,662,796.64
  5. Step 5: Solve for x
    x = 4,662,796.64/2,397.58
  6. Step 6: Final answer
    x = 1,944.79

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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.