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Finding the Fourth Proportional to 2,498.06, 3,747.23 and 649.17

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Solution

The fourth proportional to 2,498.06, 3,747.23 and 649.17 is: 973.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.06 : 3,747.23 = 649.17 : x
  2. Step 2: Convert to fraction form
    2,498.06/3,747.23 = 649.17/x
  3. Step 3: Cross multiply
    2,498.06x = 3,747.23 × 649.17
  4. Step 4: Simplify right side
    2,498.06x = 2,432,586.05
  5. Step 5: Solve for x
    x = 2,432,586.05/2,498.06
  6. Step 6: Final answer
    x = 973.79

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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.