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Finding the Fourth Proportional to 3,090.81, 4,265.63 and 1,764.54

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Solution

The fourth proportional to 3,090.81, 4,265.63 and 1,764.54 is: 2,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.81 : 4,265.63 = 1,764.54 : x
  2. Step 2: Convert to fraction form
    3,090.81/4,265.63 = 1,764.54/x
  3. Step 3: Cross multiply
    3,090.81x = 4,265.63 × 1,764.54
  4. Step 4: Simplify right side
    3,090.81x = 7,526,874.76
  5. Step 5: Solve for x
    x = 7,526,874.76/3,090.81
  6. Step 6: Final answer
    x = 2,435.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.