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Finding the Fourth Proportional to 2,116.80, 3,175.13 and 556.78

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Solution

The fourth proportional to 2,116.80, 3,175.13 and 556.78 is: 835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.80 : 3,175.13 = 556.78 : x
  2. Step 2: Convert to fraction form
    2,116.80/3,175.13 = 556.78/x
  3. Step 3: Cross multiply
    2,116.80x = 3,175.13 × 556.78
  4. Step 4: Simplify right side
    2,116.80x = 1,767,846.10
  5. Step 5: Solve for x
    x = 1,767,846.10/2,116.80
  6. Step 6: Final answer
    x = 835.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.