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Finding the Fourth Proportional to 2,957.24, 4,078.06 and 2,293.85

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Solution

The fourth proportional to 2,957.24, 4,078.06 and 2,293.85 is: 3,163.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.24 : 4,078.06 = 2,293.85 : x
  2. Step 2: Convert to fraction form
    2,957.24/4,078.06 = 2,293.85/x
  3. Step 3: Cross multiply
    2,957.24x = 4,078.06 × 2,293.85
  4. Step 4: Simplify right side
    2,957.24x = 9,354,462.39
  5. Step 5: Solve for x
    x = 9,354,462.39/2,957.24
  6. Step 6: Final answer
    x = 3,163.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.