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Finding the Fourth Proportional to 2,071.98, 3,107.28 and 684.92

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Solution

The fourth proportional to 2,071.98, 3,107.28 and 684.92 is: 1,027.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.98 : 3,107.28 = 684.92 : x
  2. Step 2: Convert to fraction form
    2,071.98/3,107.28 = 684.92/x
  3. Step 3: Cross multiply
    2,071.98x = 3,107.28 × 684.92
  4. Step 4: Simplify right side
    2,071.98x = 2,128,244.70
  5. Step 5: Solve for x
    x = 2,128,244.70/2,071.98
  6. Step 6: Final answer
    x = 1,027.16

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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.