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Finding the Fourth Proportional to 2,083.70, 2,874.48 and 1,376.78

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Solution

The fourth proportional to 2,083.70, 2,874.48 and 1,376.78 is: 1,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.70 : 2,874.48 = 1,376.78 : x
  2. Step 2: Convert to fraction form
    2,083.70/2,874.48 = 1,376.78/x
  3. Step 3: Cross multiply
    2,083.70x = 2,874.48 × 1,376.78
  4. Step 4: Simplify right side
    2,083.70x = 3,957,526.57
  5. Step 5: Solve for x
    x = 3,957,526.57/2,083.70
  6. Step 6: Final answer
    x = 1,899.28

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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.