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Finding the Fourth Proportional to 2,879.76, 4,319 and 1,398.94

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Solution

The fourth proportional to 2,879.76, 4,319 and 1,398.94 is: 2,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.76 : 4,319 = 1,398.94 : x
  2. Step 2: Convert to fraction form
    2,879.76/4,319 = 1,398.94/x
  3. Step 3: Cross multiply
    2,879.76x = 4,319 × 1,398.94
  4. Step 4: Simplify right side
    2,879.76x = 6,042,021.86
  5. Step 5: Solve for x
    x = 6,042,021.86/2,879.76
  6. Step 6: Final answer
    x = 2,098.10

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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.