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Finding the Fourth Proportional to 3,076.68, 4,617.06 and 1,433.34

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Solution

The fourth proportional to 3,076.68, 4,617.06 and 1,433.34 is: 2,150.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.68 : 4,617.06 = 1,433.34 : x
  2. Step 2: Convert to fraction form
    3,076.68/4,617.06 = 1,433.34/x
  3. Step 3: Cross multiply
    3,076.68x = 4,617.06 × 1,433.34
  4. Step 4: Simplify right side
    3,076.68x = 6,617,816.78
  5. Step 5: Solve for x
    x = 6,617,816.78/3,076.68
  6. Step 6: Final answer
    x = 2,150.96

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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.