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Finding the Fourth Proportional to 2,128.78, 2,934.18 and 1,942.90

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Solution

The fourth proportional to 2,128.78, 2,934.18 and 1,942.90 is: 2,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.78 : 2,934.18 = 1,942.90 : x
  2. Step 2: Convert to fraction form
    2,128.78/2,934.18 = 1,942.90/x
  3. Step 3: Cross multiply
    2,128.78x = 2,934.18 × 1,942.90
  4. Step 4: Simplify right side
    2,128.78x = 5,700,818.32
  5. Step 5: Solve for x
    x = 5,700,818.32/2,128.78
  6. Step 6: Final answer
    x = 2,677.97

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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.