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Finding the Fourth Proportional to 2,606.69, 3,904.97 and 1,985.82

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Solution

The fourth proportional to 2,606.69, 3,904.97 and 1,985.82 is: 2,974.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.69 : 3,904.97 = 1,985.82 : x
  2. Step 2: Convert to fraction form
    2,606.69/3,904.97 = 1,985.82/x
  3. Step 3: Cross multiply
    2,606.69x = 3,904.97 × 1,985.82
  4. Step 4: Simplify right side
    2,606.69x = 7,754,557.60
  5. Step 5: Solve for x
    x = 7,754,557.60/2,606.69
  6. Step 6: Final answer
    x = 2,974.87

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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.