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Finding the Fourth Proportional to 3,188, 4,398.85 and 1,861.38

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Solution

The fourth proportional to 3,188, 4,398.85 and 1,861.38 is: 2,568.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188 : 4,398.85 = 1,861.38 : x
  2. Step 2: Convert to fraction form
    3,188/4,398.85 = 1,861.38/x
  3. Step 3: Cross multiply
    3,188x = 4,398.85 × 1,861.38
  4. Step 4: Simplify right side
    3,188x = 8,187,931.41
  5. Step 5: Solve for x
    x = 8,187,931.41/3,188
  6. Step 6: Final answer
    x = 2,568.36

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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.