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Finding the Fourth Proportional to 2,142.80, 2,972.19 and 2,085.90

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Solution

The fourth proportional to 2,142.80, 2,972.19 and 2,085.90 is: 2,893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.80 : 2,972.19 = 2,085.90 : x
  2. Step 2: Convert to fraction form
    2,142.80/2,972.19 = 2,085.90/x
  3. Step 3: Cross multiply
    2,142.80x = 2,972.19 × 2,085.90
  4. Step 4: Simplify right side
    2,142.80x = 6,199,691.12
  5. Step 5: Solve for x
    x = 6,199,691.12/2,142.80
  6. Step 6: Final answer
    x = 2,893.27

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.