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Finding the Fourth Proportional to 2,782.76, 4,170.51 and 2,083.92

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Solution

The fourth proportional to 2,782.76, 4,170.51 and 2,083.92 is: 3,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.76 : 4,170.51 = 2,083.92 : x
  2. Step 2: Convert to fraction form
    2,782.76/4,170.51 = 2,083.92/x
  3. Step 3: Cross multiply
    2,782.76x = 4,170.51 × 2,083.92
  4. Step 4: Simplify right side
    2,782.76x = 8,691,009.20
  5. Step 5: Solve for x
    x = 8,691,009.20/2,782.76
  6. Step 6: Final answer
    x = 3,123.17

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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.