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Finding the Fourth Proportional to 2,663.40, 3,997.80 and 2,357.22

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Solution

The fourth proportional to 2,663.40, 3,997.80 and 2,357.22 is: 3,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.40 : 3,997.80 = 2,357.22 : x
  2. Step 2: Convert to fraction form
    2,663.40/3,997.80 = 2,357.22/x
  3. Step 3: Cross multiply
    2,663.40x = 3,997.80 × 2,357.22
  4. Step 4: Simplify right side
    2,663.40x = 9,423,694.12
  5. Step 5: Solve for x
    x = 9,423,694.12/2,663.40
  6. Step 6: Final answer
    x = 3,538.22

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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.