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Finding the Fourth Proportional to 4,157.62, 6,231.01 and 1,689.55

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Solution

The fourth proportional to 4,157.62, 6,231.01 and 1,689.55 is: 2,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.62 : 6,231.01 = 1,689.55 : x
  2. Step 2: Convert to fraction form
    4,157.62/6,231.01 = 1,689.55/x
  3. Step 3: Cross multiply
    4,157.62x = 6,231.01 × 1,689.55
  4. Step 4: Simplify right side
    4,157.62x = 10,527,602.95
  5. Step 5: Solve for x
    x = 10,527,602.95/4,157.62
  6. Step 6: Final answer
    x = 2,532.12

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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.