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Finding the Fourth Proportional to 2,879.90, 3,957.05 and 2,289.42

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Solution

The fourth proportional to 2,879.90, 3,957.05 and 2,289.42 is: 3,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.90 : 3,957.05 = 2,289.42 : x
  2. Step 2: Convert to fraction form
    2,879.90/3,957.05 = 2,289.42/x
  3. Step 3: Cross multiply
    2,879.90x = 3,957.05 × 2,289.42
  4. Step 4: Simplify right side
    2,879.90x = 9,059,349.41
  5. Step 5: Solve for x
    x = 9,059,349.41/2,879.90
  6. Step 6: Final answer
    x = 3,145.72

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.