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Finding the Fourth Proportional to 2,593.34, 3,887.82 and 1,205.96

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Solution

The fourth proportional to 2,593.34, 3,887.82 and 1,205.96 is: 1,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.34 : 3,887.82 = 1,205.96 : x
  2. Step 2: Convert to fraction form
    2,593.34/3,887.82 = 1,205.96/x
  3. Step 3: Cross multiply
    2,593.34x = 3,887.82 × 1,205.96
  4. Step 4: Simplify right side
    2,593.34x = 4,688,565.13
  5. Step 5: Solve for x
    x = 4,688,565.13/2,593.34
  6. Step 6: Final answer
    x = 1,807.93

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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.