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Finding the Fourth Proportional to 2,092.46, 3,139.16 and 705.76

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Solution

The fourth proportional to 2,092.46, 3,139.16 and 705.76 is: 1,058.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.46 : 3,139.16 = 705.76 : x
  2. Step 2: Convert to fraction form
    2,092.46/3,139.16 = 705.76/x
  3. Step 3: Cross multiply
    2,092.46x = 3,139.16 × 705.76
  4. Step 4: Simplify right side
    2,092.46x = 2,215,477.87
  5. Step 5: Solve for x
    x = 2,215,477.87/2,092.46
  6. Step 6: Final answer
    x = 1,058.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.