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Finding the Fourth Proportional to 2,149.02, 3,223.41 and 688.19

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Solution

The fourth proportional to 2,149.02, 3,223.41 and 688.19 is: 1,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.02 : 3,223.41 = 688.19 : x
  2. Step 2: Convert to fraction form
    2,149.02/3,223.41 = 688.19/x
  3. Step 3: Cross multiply
    2,149.02x = 3,223.41 × 688.19
  4. Step 4: Simplify right side
    2,149.02x = 2,218,302.41
  5. Step 5: Solve for x
    x = 2,218,302.41/2,149.02
  6. Step 6: Final answer
    x = 1,032.24

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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.