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Finding the Fourth Proportional to 2,116.36, 3,174.29 and 556.49

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Solution

The fourth proportional to 2,116.36, 3,174.29 and 556.49 is: 834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.36 : 3,174.29 = 556.49 : x
  2. Step 2: Convert to fraction form
    2,116.36/3,174.29 = 556.49/x
  3. Step 3: Cross multiply
    2,116.36x = 3,174.29 × 556.49
  4. Step 4: Simplify right side
    2,116.36x = 1,766,444.95
  5. Step 5: Solve for x
    x = 1,766,444.95/2,116.36
  6. Step 6: Final answer
    x = 834.66

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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.