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Finding the Fourth Proportional to 2,038.22, 3,057.36 and 577.45

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Solution

The fourth proportional to 2,038.22, 3,057.36 and 577.45 is: 866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.22 : 3,057.36 = 577.45 : x
  2. Step 2: Convert to fraction form
    2,038.22/3,057.36 = 577.45/x
  3. Step 3: Cross multiply
    2,038.22x = 3,057.36 × 577.45
  4. Step 4: Simplify right side
    2,038.22x = 1,765,472.53
  5. Step 5: Solve for x
    x = 1,765,472.53/2,038.22
  6. Step 6: Final answer
    x = 866.18

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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.