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Finding the Fourth Proportional to 2,233.74, 3,079.71 and 1,643.25

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Solution

The fourth proportional to 2,233.74, 3,079.71 and 1,643.25 is: 2,265.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,233.74 : 3,079.71 = 1,643.25 : x
  2. Step 2: Convert to fraction form
    2,233.74/3,079.71 = 1,643.25/x
  3. Step 3: Cross multiply
    2,233.74x = 3,079.71 × 1,643.25
  4. Step 4: Simplify right side
    2,233.74x = 5,060,733.46
  5. Step 5: Solve for x
    x = 5,060,733.46/2,233.74
  6. Step 6: Final answer
    x = 2,265.59

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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.