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Finding the Fourth Proportional to 2,996.94, 4,491.54 and 1,610.82

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Solution

The fourth proportional to 2,996.94, 4,491.54 and 1,610.82 is: 2,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.94 : 4,491.54 = 1,610.82 : x
  2. Step 2: Convert to fraction form
    2,996.94/4,491.54 = 1,610.82/x
  3. Step 3: Cross multiply
    2,996.94x = 4,491.54 × 1,610.82
  4. Step 4: Simplify right side
    2,996.94x = 7,235,062.46
  5. Step 5: Solve for x
    x = 7,235,062.46/2,996.94
  6. Step 6: Final answer
    x = 2,414.15

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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.