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Finding the Fourth Proportional to 3,202.05, 4,419 and 1,875.87

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Solution

The fourth proportional to 3,202.05, 4,419 and 1,875.87 is: 2,588.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.05 : 4,419 = 1,875.87 : x
  2. Step 2: Convert to fraction form
    3,202.05/4,419 = 1,875.87/x
  3. Step 3: Cross multiply
    3,202.05x = 4,419 × 1,875.87
  4. Step 4: Simplify right side
    3,202.05x = 8,289,469.53
  5. Step 5: Solve for x
    x = 8,289,469.53/3,202.05
  6. Step 6: Final answer
    x = 2,588.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.