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Finding the Fourth Proportional to 3,103.98, 4,280.54 and 2,039.86

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Solution

The fourth proportional to 3,103.98, 4,280.54 and 2,039.86 is: 2,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.98 : 4,280.54 = 2,039.86 : x
  2. Step 2: Convert to fraction form
    3,103.98/4,280.54 = 2,039.86/x
  3. Step 3: Cross multiply
    3,103.98x = 4,280.54 × 2,039.86
  4. Step 4: Simplify right side
    3,103.98x = 8,731,702.32
  5. Step 5: Solve for x
    x = 8,731,702.32/3,103.98
  6. Step 6: Final answer
    x = 2,813.07

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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.