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Finding the Fourth Proportional to 2,342.23, 3,513.03 and 698.47

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Solution

The fourth proportional to 2,342.23, 3,513.03 and 698.47 is: 1,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.23 : 3,513.03 = 698.47 : x
  2. Step 2: Convert to fraction form
    2,342.23/3,513.03 = 698.47/x
  3. Step 3: Cross multiply
    2,342.23x = 3,513.03 × 698.47
  4. Step 4: Simplify right side
    2,342.23x = 2,453,746.06
  5. Step 5: Solve for x
    x = 2,453,746.06/2,342.23
  6. Step 6: Final answer
    x = 1,047.61

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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.