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Finding the Fourth Proportional to 2,092, 3,138.06 and 705.32

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Solution

The fourth proportional to 2,092, 3,138.06 and 705.32 is: 1,058.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092 : 3,138.06 = 705.32 : x
  2. Step 2: Convert to fraction form
    2,092/3,138.06 = 705.32/x
  3. Step 3: Cross multiply
    2,092x = 3,138.06 × 705.32
  4. Step 4: Simplify right side
    2,092x = 2,213,336.48
  5. Step 5: Solve for x
    x = 2,213,336.48/2,092
  6. Step 6: Final answer
    x = 1,058.00

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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.