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Finding the Fourth Proportional to 2,598.44, 3,887.84 and 1,594.21

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Solution

The fourth proportional to 2,598.44, 3,887.84 and 1,594.21 is: 2,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.44 : 3,887.84 = 1,594.21 : x
  2. Step 2: Convert to fraction form
    2,598.44/3,887.84 = 1,594.21/x
  3. Step 3: Cross multiply
    2,598.44x = 3,887.84 × 1,594.21
  4. Step 4: Simplify right side
    2,598.44x = 6,198,027.67
  5. Step 5: Solve for x
    x = 6,198,027.67/2,598.44
  6. Step 6: Final answer
    x = 2,385.29

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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.