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Finding the Fourth Proportional to 2,148.67, 3,222.51 and 687.43

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Solution

The fourth proportional to 2,148.67, 3,222.51 and 687.43 is: 1,030.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.67 : 3,222.51 = 687.43 : x
  2. Step 2: Convert to fraction form
    2,148.67/3,222.51 = 687.43/x
  3. Step 3: Cross multiply
    2,148.67x = 3,222.51 × 687.43
  4. Step 4: Simplify right side
    2,148.67x = 2,215,250.05
  5. Step 5: Solve for x
    x = 2,215,250.05/2,148.67
  6. Step 6: Final answer
    x = 1,030.99

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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.