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Finding the Fourth Proportional to 2,037.96, 3,056.49 and 577.26

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Solution

The fourth proportional to 2,037.96, 3,056.49 and 577.26 is: 865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.96 : 3,056.49 = 577.26 : x
  2. Step 2: Convert to fraction form
    2,037.96/3,056.49 = 577.26/x
  3. Step 3: Cross multiply
    2,037.96x = 3,056.49 × 577.26
  4. Step 4: Simplify right side
    2,037.96x = 1,764,389.42
  5. Step 5: Solve for x
    x = 1,764,389.42/2,037.96
  6. Step 6: Final answer
    x = 865.76

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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.