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Finding the Fourth Proportional to 2,092.78, 3,139.98 and 860.77

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Solution

The fourth proportional to 2,092.78, 3,139.98 and 860.77 is: 1,291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.78 : 3,139.98 = 860.77 : x
  2. Step 2: Convert to fraction form
    2,092.78/3,139.98 = 860.77/x
  3. Step 3: Cross multiply
    2,092.78x = 3,139.98 × 860.77
  4. Step 4: Simplify right side
    2,092.78x = 2,702,800.58
  5. Step 5: Solve for x
    x = 2,702,800.58/2,092.78
  6. Step 6: Final answer
    x = 1,291.49

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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.