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Finding the Fourth Proportional to 3,108.68, 4,658.14 and 2,170.70

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Solution

The fourth proportional to 3,108.68, 4,658.14 and 2,170.70 is: 3,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.68 : 4,658.14 = 2,170.70 : x
  2. Step 2: Convert to fraction form
    3,108.68/4,658.14 = 2,170.70/x
  3. Step 3: Cross multiply
    3,108.68x = 4,658.14 × 2,170.70
  4. Step 4: Simplify right side
    3,108.68x = 10,111,427.81
  5. Step 5: Solve for x
    x = 10,111,427.81/3,108.68
  6. Step 6: Final answer
    x = 3,252.64

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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.