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Finding the Fourth Proportional to 3,182.91, 4,774.41 and 991.59

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Solution

The fourth proportional to 3,182.91, 4,774.41 and 991.59 is: 1,487.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.91 : 4,774.41 = 991.59 : x
  2. Step 2: Convert to fraction form
    3,182.91/4,774.41 = 991.59/x
  3. Step 3: Cross multiply
    3,182.91x = 4,774.41 × 991.59
  4. Step 4: Simplify right side
    3,182.91x = 4,734,257.21
  5. Step 5: Solve for x
    x = 4,734,257.21/3,182.91
  6. Step 6: Final answer
    x = 1,487.40

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1.5x scale

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.