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Finding the Fourth Proportional to 2,168.84, 3,237.56 and 1,906.10

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Solution

The fourth proportional to 2,168.84, 3,237.56 and 1,906.10 is: 2,845.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.84 : 3,237.56 = 1,906.10 : x
  2. Step 2: Convert to fraction form
    2,168.84/3,237.56 = 1,906.10/x
  3. Step 3: Cross multiply
    2,168.84x = 3,237.56 × 1,906.10
  4. Step 4: Simplify right side
    2,168.84x = 6,171,113.12
  5. Step 5: Solve for x
    x = 6,171,113.12/2,168.84
  6. Step 6: Final answer
    x = 2,845.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.