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Finding the Fourth Proportional to 2,343.12, 3,513.84 and 699.36

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Solution

The fourth proportional to 2,343.12, 3,513.84 and 699.36 is: 1,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.12 : 3,513.84 = 699.36 : x
  2. Step 2: Convert to fraction form
    2,343.12/3,513.84 = 699.36/x
  3. Step 3: Cross multiply
    2,343.12x = 3,513.84 × 699.36
  4. Step 4: Simplify right side
    2,343.12x = 2,457,439.14
  5. Step 5: Solve for x
    x = 2,457,439.14/2,343.12
  6. Step 6: Final answer
    x = 1,048.79

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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.