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Finding the Fourth Proportional to 2,084.03, 3,127.27 and 768.71

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Solution

The fourth proportional to 2,084.03, 3,127.27 and 768.71 is: 1,153.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.03 : 3,127.27 = 768.71 : x
  2. Step 2: Convert to fraction form
    2,084.03/3,127.27 = 768.71/x
  3. Step 3: Cross multiply
    2,084.03x = 3,127.27 × 768.71
  4. Step 4: Simplify right side
    2,084.03x = 2,403,946.16
  5. Step 5: Solve for x
    x = 2,403,946.16/2,084.03
  6. Step 6: Final answer
    x = 1,153.51

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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.