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Finding the Fourth Proportional to 2,092.64, 3,139.02 and 859.76

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Solution

The fourth proportional to 2,092.64, 3,139.02 and 859.76 is: 1,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.64 : 3,139.02 = 859.76 : x
  2. Step 2: Convert to fraction form
    2,092.64/3,139.02 = 859.76/x
  3. Step 3: Cross multiply
    2,092.64x = 3,139.02 × 859.76
  4. Step 4: Simplify right side
    2,092.64x = 2,698,803.84
  5. Step 5: Solve for x
    x = 2,698,803.84/2,092.64
  6. Step 6: Final answer
    x = 1,289.66

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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.