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Finding the Fourth Proportional to 1,649.94, 2,472.28 and 608.50

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Solution

The fourth proportional to 1,649.94, 2,472.28 and 608.50 is: 911.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.94 : 2,472.28 = 608.50 : x
  2. Step 2: Convert to fraction form
    1,649.94/2,472.28 = 608.50/x
  3. Step 3: Cross multiply
    1,649.94x = 2,472.28 × 608.50
  4. Step 4: Simplify right side
    1,649.94x = 1,504,382.38
  5. Step 5: Solve for x
    x = 1,504,382.38/1,649.94
  6. Step 6: Final answer
    x = 911.78

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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.