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Finding the Fourth Proportional to 2,876.42, 3,963.93 and 2,046.98

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Solution

The fourth proportional to 2,876.42, 3,963.93 and 2,046.98 is: 2,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.42 : 3,963.93 = 2,046.98 : x
  2. Step 2: Convert to fraction form
    2,876.42/3,963.93 = 2,046.98/x
  3. Step 3: Cross multiply
    2,876.42x = 3,963.93 × 2,046.98
  4. Step 4: Simplify right side
    2,876.42x = 8,114,085.43
  5. Step 5: Solve for x
    x = 8,114,085.43/2,876.42
  6. Step 6: Final answer
    x = 2,820.90

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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.