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Finding the Fourth Proportional to 3,092.44, 4,635.74 and 1,039

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Solution

The fourth proportional to 3,092.44, 4,635.74 and 1,039 is: 1,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.44 : 4,635.74 = 1,039 : x
  2. Step 2: Convert to fraction form
    3,092.44/4,635.74 = 1,039/x
  3. Step 3: Cross multiply
    3,092.44x = 4,635.74 × 1,039
  4. Step 4: Simplify right side
    3,092.44x = 4,816,533.86
  5. Step 5: Solve for x
    x = 4,816,533.86/3,092.44
  6. Step 6: Final answer
    x = 1,557.52

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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.