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Finding the Fourth Proportional to 3,104.09, 4,655.15 and 1,023.71

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Solution

The fourth proportional to 3,104.09, 4,655.15 and 1,023.71 is: 1,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.09 : 4,655.15 = 1,023.71 : x
  2. Step 2: Convert to fraction form
    3,104.09/4,655.15 = 1,023.71/x
  3. Step 3: Cross multiply
    3,104.09x = 4,655.15 × 1,023.71
  4. Step 4: Simplify right side
    3,104.09x = 4,765,495.21
  5. Step 5: Solve for x
    x = 4,765,495.21/3,104.09
  6. Step 6: Final answer
    x = 1,535.23

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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.