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Finding the Fourth Proportional to 2,593.70, 3,886.23 and 1,822.82

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Solution

The fourth proportional to 2,593.70, 3,886.23 and 1,822.82 is: 2,731.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.70 : 3,886.23 = 1,822.82 : x
  2. Step 2: Convert to fraction form
    2,593.70/3,886.23 = 1,822.82/x
  3. Step 3: Cross multiply
    2,593.70x = 3,886.23 × 1,822.82
  4. Step 4: Simplify right side
    2,593.70x = 7,083,897.77
  5. Step 5: Solve for x
    x = 7,083,897.77/2,593.70
  6. Step 6: Final answer
    x = 2,731.19

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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.