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Finding the Fourth Proportional to 2,148.30, 3,222.86 and 687.53

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Solution

The fourth proportional to 2,148.30, 3,222.86 and 687.53 is: 1,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.30 : 3,222.86 = 687.53 : x
  2. Step 2: Convert to fraction form
    2,148.30/3,222.86 = 687.53/x
  3. Step 3: Cross multiply
    2,148.30x = 3,222.86 × 687.53
  4. Step 4: Simplify right side
    2,148.30x = 2,215,817.56
  5. Step 5: Solve for x
    x = 2,215,817.56/2,148.30
  6. Step 6: Final answer
    x = 1,031.43

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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.