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Finding the Fourth Proportional to 2,830.92, 3,908.58 and 2,085.72

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Solution

The fourth proportional to 2,830.92, 3,908.58 and 2,085.72 is: 2,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,830.92 : 3,908.58 = 2,085.72 : x
  2. Step 2: Convert to fraction form
    2,830.92/3,908.58 = 2,085.72/x
  3. Step 3: Cross multiply
    2,830.92x = 3,908.58 × 2,085.72
  4. Step 4: Simplify right side
    2,830.92x = 8,152,203.48
  5. Step 5: Solve for x
    x = 8,152,203.48/2,830.92
  6. Step 6: Final answer
    x = 2,879.70

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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.