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Finding the Fourth Proportional to 2,812.50, 4,220.64 and 1,687.68

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Solution

The fourth proportional to 2,812.50, 4,220.64 and 1,687.68 is: 2,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.50 : 4,220.64 = 1,687.68 : x
  2. Step 2: Convert to fraction form
    2,812.50/4,220.64 = 1,687.68/x
  3. Step 3: Cross multiply
    2,812.50x = 4,220.64 × 1,687.68
  4. Step 4: Simplify right side
    2,812.50x = 7,123,089.72
  5. Step 5: Solve for x
    x = 7,123,089.72/2,812.50
  6. Step 6: Final answer
    x = 2,532.65

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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.