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Finding the Fourth Proportional to 1,649.63, 2,472.72 and 608.97

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Solution

The fourth proportional to 1,649.63, 2,472.72 and 608.97 is: 912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.63 : 2,472.72 = 608.97 : x
  2. Step 2: Convert to fraction form
    1,649.63/2,472.72 = 608.97/x
  3. Step 3: Cross multiply
    1,649.63x = 2,472.72 × 608.97
  4. Step 4: Simplify right side
    1,649.63x = 1,505,815.24
  5. Step 5: Solve for x
    x = 1,505,815.24/1,649.63
  6. Step 6: Final answer
    x = 912.82

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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.