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Finding the Fourth Proportional to 3,171.66, 4,376.90 and 1,774.41

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Solution

The fourth proportional to 3,171.66, 4,376.90 and 1,774.41 is: 2,448.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.66 : 4,376.90 = 1,774.41 : x
  2. Step 2: Convert to fraction form
    3,171.66/4,376.90 = 1,774.41/x
  3. Step 3: Cross multiply
    3,171.66x = 4,376.90 × 1,774.41
  4. Step 4: Simplify right side
    3,171.66x = 7,766,403.15
  5. Step 5: Solve for x
    x = 7,766,403.15/3,171.66
  6. Step 6: Final answer
    x = 2,448.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.