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Finding the Fourth Proportional to 2,874.66, 4,312.60 and 1,394.94

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Solution

The fourth proportional to 2,874.66, 4,312.60 and 1,394.94 is: 2,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.66 : 4,312.60 = 1,394.94 : x
  2. Step 2: Convert to fraction form
    2,874.66/4,312.60 = 1,394.94/x
  3. Step 3: Cross multiply
    2,874.66x = 4,312.60 × 1,394.94
  4. Step 4: Simplify right side
    2,874.66x = 6,015,818.24
  5. Step 5: Solve for x
    x = 6,015,818.24/2,874.66
  6. Step 6: Final answer
    x = 2,092.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.