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Finding the Fourth Proportional to 2,330.36, 3,495.90 and 791

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Solution

The fourth proportional to 2,330.36, 3,495.90 and 791 is: 1,186.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.36 : 3,495.90 = 791 : x
  2. Step 2: Convert to fraction form
    2,330.36/3,495.90 = 791/x
  3. Step 3: Cross multiply
    2,330.36x = 3,495.90 × 791
  4. Step 4: Simplify right side
    2,330.36x = 2,765,256.90
  5. Step 5: Solve for x
    x = 2,765,256.90/2,330.36
  6. Step 6: Final answer
    x = 1,186.62

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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.