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Finding the Fourth Proportional to 2,038.23, 3,057.21 and 577.26

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Solution

The fourth proportional to 2,038.23, 3,057.21 and 577.26 is: 865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.23 : 3,057.21 = 577.26 : x
  2. Step 2: Convert to fraction form
    2,038.23/3,057.21 = 577.26/x
  3. Step 3: Cross multiply
    2,038.23x = 3,057.21 × 577.26
  4. Step 4: Simplify right side
    2,038.23x = 1,764,805.04
  5. Step 5: Solve for x
    x = 1,764,805.04/2,038.23
  6. Step 6: Final answer
    x = 865.85

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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.