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Finding the Fourth Proportional to 3,164.87, 4,367.01 and 1,838.63

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Solution

The fourth proportional to 3,164.87, 4,367.01 and 1,838.63 is: 2,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.87 : 4,367.01 = 1,838.63 : x
  2. Step 2: Convert to fraction form
    3,164.87/4,367.01 = 1,838.63/x
  3. Step 3: Cross multiply
    3,164.87x = 4,367.01 × 1,838.63
  4. Step 4: Simplify right side
    3,164.87x = 8,029,333.41
  5. Step 5: Solve for x
    x = 8,029,333.41/3,164.87
  6. Step 6: Final answer
    x = 2,537.02

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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.