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Finding the Fourth Proportional to 2,148.82, 3,223.51 and 687.46

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Solution

The fourth proportional to 2,148.82, 3,223.51 and 687.46 is: 1,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.82 : 3,223.51 = 687.46 : x
  2. Step 2: Convert to fraction form
    2,148.82/3,223.51 = 687.46/x
  3. Step 3: Cross multiply
    2,148.82x = 3,223.51 × 687.46
  4. Step 4: Simplify right side
    2,148.82x = 2,216,034.18
  5. Step 5: Solve for x
    x = 2,216,034.18/2,148.82
  6. Step 6: Final answer
    x = 1,031.28

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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.