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Finding the Fourth Proportional to 2,116.01, 3,170.42 and 1,496.69

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Solution

The fourth proportional to 2,116.01, 3,170.42 and 1,496.69 is: 2,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.01 : 3,170.42 = 1,496.69 : x
  2. Step 2: Convert to fraction form
    2,116.01/3,170.42 = 1,496.69/x
  3. Step 3: Cross multiply
    2,116.01x = 3,170.42 × 1,496.69
  4. Step 4: Simplify right side
    2,116.01x = 4,745,135.91
  5. Step 5: Solve for x
    x = 4,745,135.91/2,116.01
  6. Step 6: Final answer
    x = 2,242.49

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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.