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Finding the Fourth Proportional to 2,116.83, 2,921.22 and 1,233.23

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Solution

The fourth proportional to 2,116.83, 2,921.22 and 1,233.23 is: 1,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.83 : 2,921.22 = 1,233.23 : x
  2. Step 2: Convert to fraction form
    2,116.83/2,921.22 = 1,233.23/x
  3. Step 3: Cross multiply
    2,116.83x = 2,921.22 × 1,233.23
  4. Step 4: Simplify right side
    2,116.83x = 3,602,521.53
  5. Step 5: Solve for x
    x = 3,602,521.53/2,116.83
  6. Step 6: Final answer
    x = 1,701.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.