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Finding the Fourth Proportional to 3,103.30, 4,655.64 and 1,023.22

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Solution

The fourth proportional to 3,103.30, 4,655.64 and 1,023.22 is: 1,535.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.30 : 4,655.64 = 1,023.22 : x
  2. Step 2: Convert to fraction form
    3,103.30/4,655.64 = 1,023.22/x
  3. Step 3: Cross multiply
    3,103.30x = 4,655.64 × 1,023.22
  4. Step 4: Simplify right side
    3,103.30x = 4,763,743.96
  5. Step 5: Solve for x
    x = 4,763,743.96/3,103.30
  6. Step 6: Final answer
    x = 1,535.06

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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.