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Finding the Fourth Proportional to 2,342.90, 3,233.94 and 1,399.39

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Solution

The fourth proportional to 2,342.90, 3,233.94 and 1,399.39 is: 1,931.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.90 : 3,233.94 = 1,399.39 : x
  2. Step 2: Convert to fraction form
    2,342.90/3,233.94 = 1,399.39/x
  3. Step 3: Cross multiply
    2,342.90x = 3,233.94 × 1,399.39
  4. Step 4: Simplify right side
    2,342.90x = 4,525,543.30
  5. Step 5: Solve for x
    x = 4,525,543.30/2,342.90
  6. Step 6: Final answer
    x = 1,931.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.