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Finding the Fourth Proportional to 2,037.95, 3,056.34 and 577.25

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Solution

The fourth proportional to 2,037.95, 3,056.34 and 577.25 is: 865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.95 : 3,056.34 = 577.25 : x
  2. Step 2: Convert to fraction form
    2,037.95/3,056.34 = 577.25/x
  3. Step 3: Cross multiply
    2,037.95x = 3,056.34 × 577.25
  4. Step 4: Simplify right side
    2,037.95x = 1,764,272.27
  5. Step 5: Solve for x
    x = 1,764,272.27/2,037.95
  6. Step 6: Final answer
    x = 865.71

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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.