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Finding the Fourth Proportional to 3,103.32, 4,654.74 and 1,023.39

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Solution

The fourth proportional to 3,103.32, 4,654.74 and 1,023.39 is: 1,535.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103.32 : 4,654.74 = 1,023.39 : x
  2. Step 2: Convert to fraction form
    3,103.32/4,654.74 = 1,023.39/x
  3. Step 3: Cross multiply
    3,103.32x = 4,654.74 × 1,023.39
  4. Step 4: Simplify right side
    3,103.32x = 4,763,614.37
  5. Step 5: Solve for x
    x = 4,763,614.37/3,103.32
  6. Step 6: Final answer
    x = 1,535.01

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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.