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Finding the Fourth Proportional to 2,906.40, 4,013.10 and 1,787.85

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Solution

The fourth proportional to 2,906.40, 4,013.10 and 1,787.85 is: 2,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906.40 : 4,013.10 = 1,787.85 : x
  2. Step 2: Convert to fraction form
    2,906.40/4,013.10 = 1,787.85/x
  3. Step 3: Cross multiply
    2,906.40x = 4,013.10 × 1,787.85
  4. Step 4: Simplify right side
    2,906.40x = 7,174,820.84
  5. Step 5: Solve for x
    x = 7,174,820.84/2,906.40
  6. Step 6: Final answer
    x = 2,468.63

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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.