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Finding the Fourth Proportional to 3,124, 4,687.50 and 2,084.68

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Solution

The fourth proportional to 3,124, 4,687.50 and 2,084.68 is: 3,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124 : 4,687.50 = 2,084.68 : x
  2. Step 2: Convert to fraction form
    3,124/4,687.50 = 2,084.68/x
  3. Step 3: Cross multiply
    3,124x = 4,687.50 × 2,084.68
  4. Step 4: Simplify right side
    3,124x = 9,771,937.50
  5. Step 5: Solve for x
    x = 9,771,937.50/3,124
  6. Step 6: Final answer
    x = 3,128.02

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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.