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Finding the Fourth Proportional to 2,148.84, 3,222.36 and 687.60

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Solution

The fourth proportional to 2,148.84, 3,222.36 and 687.60 is: 1,031.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.84 : 3,222.36 = 687.60 : x
  2. Step 2: Convert to fraction form
    2,148.84/3,222.36 = 687.60/x
  3. Step 3: Cross multiply
    2,148.84x = 3,222.36 × 687.60
  4. Step 4: Simplify right side
    2,148.84x = 2,215,694.74
  5. Step 5: Solve for x
    x = 2,215,694.74/2,148.84
  6. Step 6: Final answer
    x = 1,031.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.