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Finding the Fourth Proportional to 2,644.68, 3,648.04 and 1,748.43

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Solution

The fourth proportional to 2,644.68, 3,648.04 and 1,748.43 is: 2,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,644.68 : 3,648.04 = 1,748.43 : x
  2. Step 2: Convert to fraction form
    2,644.68/3,648.04 = 1,748.43/x
  3. Step 3: Cross multiply
    2,644.68x = 3,648.04 × 1,748.43
  4. Step 4: Simplify right side
    2,644.68x = 6,378,348.04
  5. Step 5: Solve for x
    x = 6,378,348.04/2,644.68
  6. Step 6: Final answer
    x = 2,411.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.