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Finding the Fourth Proportional to 2,443.06, 3,664.23 and 688.24

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Solution

The fourth proportional to 2,443.06, 3,664.23 and 688.24 is: 1,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443.06 : 3,664.23 = 688.24 : x
  2. Step 2: Convert to fraction form
    2,443.06/3,664.23 = 688.24/x
  3. Step 3: Cross multiply
    2,443.06x = 3,664.23 × 688.24
  4. Step 4: Simplify right side
    2,443.06x = 2,521,869.66
  5. Step 5: Solve for x
    x = 2,521,869.66/2,443.06
  6. Step 6: Final answer
    x = 1,032.26

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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.