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Finding the Fourth Proportional to 2,038.44, 3,057.08 and 577.76

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Solution

The fourth proportional to 2,038.44, 3,057.08 and 577.76 is: 866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.44 : 3,057.08 = 577.76 : x
  2. Step 2: Convert to fraction form
    2,038.44/3,057.08 = 577.76/x
  3. Step 3: Cross multiply
    2,038.44x = 3,057.08 × 577.76
  4. Step 4: Simplify right side
    2,038.44x = 1,766,258.54
  5. Step 5: Solve for x
    x = 1,766,258.54/2,038.44
  6. Step 6: Final answer
    x = 866.48

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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.