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Finding the Fourth Proportional to 2,730.72, 3,773.51 and 2,233.17

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Solution

The fourth proportional to 2,730.72, 3,773.51 and 2,233.17 is: 3,085.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.72 : 3,773.51 = 2,233.17 : x
  2. Step 2: Convert to fraction form
    2,730.72/3,773.51 = 2,233.17/x
  3. Step 3: Cross multiply
    2,730.72x = 3,773.51 × 2,233.17
  4. Step 4: Simplify right side
    2,730.72x = 8,426,878.16
  5. Step 5: Solve for x
    x = 8,426,878.16/2,730.72
  6. Step 6: Final answer
    x = 3,085.95

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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.