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Finding the Fourth Proportional to 2,588.99, 3,885.01 and 1,202.81

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Solution

The fourth proportional to 2,588.99, 3,885.01 and 1,202.81 is: 1,804.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.99 : 3,885.01 = 1,202.81 : x
  2. Step 2: Convert to fraction form
    2,588.99/3,885.01 = 1,202.81/x
  3. Step 3: Cross multiply
    2,588.99x = 3,885.01 × 1,202.81
  4. Step 4: Simplify right side
    2,588.99x = 4,672,906.45
  5. Step 5: Solve for x
    x = 4,672,906.45/2,588.99
  6. Step 6: Final answer
    x = 1,804.92

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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.