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Finding the Fourth Proportional to 2,498.23, 3,747.41 and 649.30

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Solution

The fourth proportional to 2,498.23, 3,747.41 and 649.30 is: 973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.23 : 3,747.41 = 649.30 : x
  2. Step 2: Convert to fraction form
    2,498.23/3,747.41 = 649.30/x
  3. Step 3: Cross multiply
    2,498.23x = 3,747.41 × 649.30
  4. Step 4: Simplify right side
    2,498.23x = 2,433,193.31
  5. Step 5: Solve for x
    x = 2,433,193.31/2,498.23
  6. Step 6: Final answer
    x = 973.97

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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.