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Finding the Fourth Proportional to 2,300.02, 3,449.96 and 1,369.34

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Solution

The fourth proportional to 2,300.02, 3,449.96 and 1,369.34 is: 2,053.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.02 : 3,449.96 = 1,369.34 : x
  2. Step 2: Convert to fraction form
    2,300.02/3,449.96 = 1,369.34/x
  3. Step 3: Cross multiply
    2,300.02x = 3,449.96 × 1,369.34
  4. Step 4: Simplify right side
    2,300.02x = 4,724,168.23
  5. Step 5: Solve for x
    x = 4,724,168.23/2,300.02
  6. Step 6: Final answer
    x = 2,053.97

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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.