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Finding the Fourth Proportional to 2,057.00, 3,084.89 and 575.87

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Solution

The fourth proportional to 2,057.00, 3,084.89 and 575.87 is: 863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.00 : 3,084.89 = 575.87 : x
  2. Step 2: Convert to fraction form
    2,057.00/3,084.89 = 575.87/x
  3. Step 3: Cross multiply
    2,057.00x = 3,084.89 × 575.87
  4. Step 4: Simplify right side
    2,057.00x = 1,776,477.30
  5. Step 5: Solve for x
    x = 1,776,477.30/2,057.00
  6. Step 6: Final answer
    x = 863.62

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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.