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Finding the Fourth Proportional to 2,116.37, 3,175.09 and 883.15

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Solution

The fourth proportional to 2,116.37, 3,175.09 and 883.15 is: 1,324.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.37 : 3,175.09 = 883.15 : x
  2. Step 2: Convert to fraction form
    2,116.37/3,175.09 = 883.15/x
  3. Step 3: Cross multiply
    2,116.37x = 3,175.09 × 883.15
  4. Step 4: Simplify right side
    2,116.37x = 2,804,070.59
  5. Step 5: Solve for x
    x = 2,804,070.59/2,116.37
  6. Step 6: Final answer
    x = 1,324.94

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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.