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Finding the Fourth Proportional to 2,726.53, 4,094.64 and 2,233.87

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Solution

The fourth proportional to 2,726.53, 4,094.64 and 2,233.87 is: 3,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,726.53 : 4,094.64 = 2,233.87 : x
  2. Step 2: Convert to fraction form
    2,726.53/4,094.64 = 2,233.87/x
  3. Step 3: Cross multiply
    2,726.53x = 4,094.64 × 2,233.87
  4. Step 4: Simplify right side
    2,726.53x = 9,146,893.46
  5. Step 5: Solve for x
    x = 9,146,893.46/2,726.53
  6. Step 6: Final answer
    x = 3,354.77

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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.