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Finding the Fourth Proportional to 4,157.58, 6,230.96 and 1,689.50

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Solution

The fourth proportional to 4,157.58, 6,230.96 and 1,689.50 is: 2,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.58 : 6,230.96 = 1,689.50 : x
  2. Step 2: Convert to fraction form
    4,157.58/6,230.96 = 1,689.50/x
  3. Step 3: Cross multiply
    4,157.58x = 6,230.96 × 1,689.50
  4. Step 4: Simplify right side
    4,157.58x = 10,527,206.92
  5. Step 5: Solve for x
    x = 10,527,206.92/4,157.58
  6. Step 6: Final answer
    x = 2,532.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.