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Finding the Fourth Proportional to 2,342.35, 3,513.53 and 699.48

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Solution

The fourth proportional to 2,342.35, 3,513.53 and 699.48 is: 1,049.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.35 : 3,513.53 = 699.48 : x
  2. Step 2: Convert to fraction form
    2,342.35/3,513.53 = 699.48/x
  3. Step 3: Cross multiply
    2,342.35x = 3,513.53 × 699.48
  4. Step 4: Simplify right side
    2,342.35x = 2,457,643.96
  5. Step 5: Solve for x
    x = 2,457,643.96/2,342.35
  6. Step 6: Final answer
    x = 1,049.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.