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Finding the Fourth Proportional to 3,433.98, 5,148.69 and 1,769.13

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Solution

The fourth proportional to 3,433.98, 5,148.69 and 1,769.13 is: 2,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.98 : 5,148.69 = 1,769.13 : x
  2. Step 2: Convert to fraction form
    3,433.98/5,148.69 = 1,769.13/x
  3. Step 3: Cross multiply
    3,433.98x = 5,148.69 × 1,769.13
  4. Step 4: Simplify right side
    3,433.98x = 9,108,701.94
  5. Step 5: Solve for x
    x = 9,108,701.94/3,433.98
  6. Step 6: Final answer
    x = 2,652.52

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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.