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Finding the Fourth Proportional to 2,092.84, 3,138.98 and 706.14

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Solution

The fourth proportional to 2,092.84, 3,138.98 and 706.14 is: 1,059.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.84 : 3,138.98 = 706.14 : x
  2. Step 2: Convert to fraction form
    2,092.84/3,138.98 = 706.14/x
  3. Step 3: Cross multiply
    2,092.84x = 3,138.98 × 706.14
  4. Step 4: Simplify right side
    2,092.84x = 2,216,559.34
  5. Step 5: Solve for x
    x = 2,216,559.34/2,092.84
  6. Step 6: Final answer
    x = 1,059.12

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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.