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Finding the Fourth Proportional to 1,874.38, 2,607.31 and 1,838.74

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Solution

The fourth proportional to 1,874.38, 2,607.31 and 1,838.74 is: 2,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.38 : 2,607.31 = 1,838.74 : x
  2. Step 2: Convert to fraction form
    1,874.38/2,607.31 = 1,838.74/x
  3. Step 3: Cross multiply
    1,874.38x = 2,607.31 × 1,838.74
  4. Step 4: Simplify right side
    1,874.38x = 4,794,165.19
  5. Step 5: Solve for x
    x = 4,794,165.19/1,874.38
  6. Step 6: Final answer
    x = 2,557.73

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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.