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Finding the Fourth Proportional to 2,606.92, 3,928.71 and 2,347.24

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Solution

The fourth proportional to 2,606.92, 3,928.71 and 2,347.24 is: 3,537.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.92 : 3,928.71 = 2,347.24 : x
  2. Step 2: Convert to fraction form
    2,606.92/3,928.71 = 2,347.24/x
  3. Step 3: Cross multiply
    2,606.92x = 3,928.71 × 2,347.24
  4. Step 4: Simplify right side
    2,606.92x = 9,221,625.26
  5. Step 5: Solve for x
    x = 9,221,625.26/2,606.92
  6. Step 6: Final answer
    x = 3,537.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.