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Finding the Fourth Proportional to 2,055.96, 3,090.42 and 1,785.42

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Solution

The fourth proportional to 2,055.96, 3,090.42 and 1,785.42 is: 2,683.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,055.96 : 3,090.42 = 1,785.42 : x
  2. Step 2: Convert to fraction form
    2,055.96/3,090.42 = 1,785.42/x
  3. Step 3: Cross multiply
    2,055.96x = 3,090.42 × 1,785.42
  4. Step 4: Simplify right side
    2,055.96x = 5,517,697.68
  5. Step 5: Solve for x
    x = 5,517,697.68/2,055.96
  6. Step 6: Final answer
    x = 2,683.76

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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.