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Finding the Fourth Proportional to 1,649.31, 2,473.95 and 662.57

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Solution

The fourth proportional to 1,649.31, 2,473.95 and 662.57 is: 993.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.31 : 2,473.95 = 662.57 : x
  2. Step 2: Convert to fraction form
    1,649.31/2,473.95 = 662.57/x
  3. Step 3: Cross multiply
    1,649.31x = 2,473.95 × 662.57
  4. Step 4: Simplify right side
    1,649.31x = 1,639,149.37
  5. Step 5: Solve for x
    x = 1,639,149.37/1,649.31
  6. Step 6: Final answer
    x = 993.84

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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.