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Finding the Fourth Proportional to 2,084.06, 3,126.50 and 929.81

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Solution

The fourth proportional to 2,084.06, 3,126.50 and 929.81 is: 1,394.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.06 : 3,126.50 = 929.81 : x
  2. Step 2: Convert to fraction form
    2,084.06/3,126.50 = 929.81/x
  3. Step 3: Cross multiply
    2,084.06x = 3,126.50 × 929.81
  4. Step 4: Simplify right side
    2,084.06x = 2,907,057.62
  5. Step 5: Solve for x
    x = 2,907,057.62/2,084.06
  6. Step 6: Final answer
    x = 1,394.90

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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.