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Finding the Fourth Proportional to 2,588.67, 3,883.10 and 1,355.22

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Solution

The fourth proportional to 2,588.67, 3,883.10 and 1,355.22 is: 2,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.67 : 3,883.10 = 1,355.22 : x
  2. Step 2: Convert to fraction form
    2,588.67/3,883.10 = 1,355.22/x
  3. Step 3: Cross multiply
    2,588.67x = 3,883.10 × 1,355.22
  4. Step 4: Simplify right side
    2,588.67x = 5,262,448.01
  5. Step 5: Solve for x
    x = 5,262,448.01/2,588.67
  6. Step 6: Final answer
    x = 2,032.88

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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.