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Finding the Fourth Proportional to 3,108.72, 4,660.56 and 1,160.64

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Solution

The fourth proportional to 3,108.72, 4,660.56 and 1,160.64 is: 1,740.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.72 : 4,660.56 = 1,160.64 : x
  2. Step 2: Convert to fraction form
    3,108.72/4,660.56 = 1,160.64/x
  3. Step 3: Cross multiply
    3,108.72x = 4,660.56 × 1,160.64
  4. Step 4: Simplify right side
    3,108.72x = 5,409,232.36
  5. Step 5: Solve for x
    x = 5,409,232.36/3,108.72
  6. Step 6: Final answer
    x = 1,740.02

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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.