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Finding the Fourth Proportional to 3,182.96, 4,774.77 and 991.37

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Solution

The fourth proportional to 3,182.96, 4,774.77 and 991.37 is: 1,487.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.96 : 4,774.77 = 991.37 : x
  2. Step 2: Convert to fraction form
    3,182.96/4,774.77 = 991.37/x
  3. Step 3: Cross multiply
    3,182.96x = 4,774.77 × 991.37
  4. Step 4: Simplify right side
    3,182.96x = 4,733,539.86
  5. Step 5: Solve for x
    x = 4,733,539.86/3,182.96
  6. Step 6: Final answer
    x = 1,487.15

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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.