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Finding the Fourth Proportional to 3,108.64, 4,289.84 and 1,711.40

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Solution

The fourth proportional to 3,108.64, 4,289.84 and 1,711.40 is: 2,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.64 : 4,289.84 = 1,711.40 : x
  2. Step 2: Convert to fraction form
    3,108.64/4,289.84 = 1,711.40/x
  3. Step 3: Cross multiply
    3,108.64x = 4,289.84 × 1,711.40
  4. Step 4: Simplify right side
    3,108.64x = 7,341,632.18
  5. Step 5: Solve for x
    x = 7,341,632.18/3,108.64
  6. Step 6: Final answer
    x = 2,361.69

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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.