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Finding the Fourth Proportional to 3,104.19, 4,656.23 and 1,024.33

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Solution

The fourth proportional to 3,104.19, 4,656.23 and 1,024.33 is: 1,536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.19 : 4,656.23 = 1,024.33 : x
  2. Step 2: Convert to fraction form
    3,104.19/4,656.23 = 1,024.33/x
  3. Step 3: Cross multiply
    3,104.19x = 4,656.23 × 1,024.33
  4. Step 4: Simplify right side
    3,104.19x = 4,769,517.65
  5. Step 5: Solve for x
    x = 4,769,517.65/3,104.19
  6. Step 6: Final answer
    x = 1,536.48

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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.