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Finding the Fourth Proportional to 2,038.33, 3,057.22 and 577.59

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Solution

The fourth proportional to 2,038.33, 3,057.22 and 577.59 is: 866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.33 : 3,057.22 = 577.59 : x
  2. Step 2: Convert to fraction form
    2,038.33/3,057.22 = 577.59/x
  3. Step 3: Cross multiply
    2,038.33x = 3,057.22 × 577.59
  4. Step 4: Simplify right side
    2,038.33x = 1,765,819.70
  5. Step 5: Solve for x
    x = 1,765,819.70/2,038.33
  6. Step 6: Final answer
    x = 866.31

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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.