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Finding the Fourth Proportional to 2,404.18, 3,606.30 and 844.23

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Solution

The fourth proportional to 2,404.18, 3,606.30 and 844.23 is: 1,266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.18 : 3,606.30 = 844.23 : x
  2. Step 2: Convert to fraction form
    2,404.18/3,606.30 = 844.23/x
  3. Step 3: Cross multiply
    2,404.18x = 3,606.30 × 844.23
  4. Step 4: Simplify right side
    2,404.18x = 3,044,548.23
  5. Step 5: Solve for x
    x = 3,044,548.23/2,404.18
  6. Step 6: Final answer
    x = 1,266.36

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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.