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Finding the Fourth Proportional to 2,594.05, 3,887.59 and 2,427.98

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Solution

The fourth proportional to 2,594.05, 3,887.59 and 2,427.98 is: 3,638.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.05 : 3,887.59 = 2,427.98 : x
  2. Step 2: Convert to fraction form
    2,594.05/3,887.59 = 2,427.98/x
  3. Step 3: Cross multiply
    2,594.05x = 3,887.59 × 2,427.98
  4. Step 4: Simplify right side
    2,594.05x = 9,438,990.77
  5. Step 5: Solve for x
    x = 9,438,990.77/2,594.05
  6. Step 6: Final answer
    x = 3,638.71

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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.