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Finding the Fourth Proportional to 2,116.77, 3,175.46 and 656.04

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Solution

The fourth proportional to 2,116.77, 3,175.46 and 656.04 is: 984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.77 : 3,175.46 = 656.04 : x
  2. Step 2: Convert to fraction form
    2,116.77/3,175.46 = 656.04/x
  3. Step 3: Cross multiply
    2,116.77x = 3,175.46 × 656.04
  4. Step 4: Simplify right side
    2,116.77x = 2,083,228.78
  5. Step 5: Solve for x
    x = 2,083,228.78/2,116.77
  6. Step 6: Final answer
    x = 984.15

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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.