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Finding the Fourth Proportional to 2,148.32, 3,222.45 and 687.61

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Solution

The fourth proportional to 2,148.32, 3,222.45 and 687.61 is: 1,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.32 : 3,222.45 = 687.61 : x
  2. Step 2: Convert to fraction form
    2,148.32/3,222.45 = 687.61/x
  3. Step 3: Cross multiply
    2,148.32x = 3,222.45 × 687.61
  4. Step 4: Simplify right side
    2,148.32x = 2,215,788.84
  5. Step 5: Solve for x
    x = 2,215,788.84/2,148.32
  6. Step 6: Final answer
    x = 1,031.41

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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.