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Finding the Fourth Proportional to 2,596.62, 3,887.64 and 1,361.28

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Solution

The fourth proportional to 2,596.62, 3,887.64 and 1,361.28 is: 2,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,596.62 : 3,887.64 = 1,361.28 : x
  2. Step 2: Convert to fraction form
    2,596.62/3,887.64 = 1,361.28/x
  3. Step 3: Cross multiply
    2,596.62x = 3,887.64 × 1,361.28
  4. Step 4: Simplify right side
    2,596.62x = 5,292,166.58
  5. Step 5: Solve for x
    x = 5,292,166.58/2,596.62
  6. Step 6: Final answer
    x = 2,038.10

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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.