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Finding the Fourth Proportional to 2,343.02, 3,233.07 and 1,295.02

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Solution

The fourth proportional to 2,343.02, 3,233.07 and 1,295.02 is: 1,786.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.02 : 3,233.07 = 1,295.02 : x
  2. Step 2: Convert to fraction form
    2,343.02/3,233.07 = 1,295.02/x
  3. Step 3: Cross multiply
    2,343.02x = 3,233.07 × 1,295.02
  4. Step 4: Simplify right side
    2,343.02x = 4,186,890.31
  5. Step 5: Solve for x
    x = 4,186,890.31/2,343.02
  6. Step 6: Final answer
    x = 1,786.96

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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.