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Finding the Fourth Proportional to 3,090.30, 4,265.91 and 1,971.30

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Solution

The fourth proportional to 3,090.30, 4,265.91 and 1,971.30 is: 2,721.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.30 : 4,265.91 = 1,971.30 : x
  2. Step 2: Convert to fraction form
    3,090.30/4,265.91 = 1,971.30/x
  3. Step 3: Cross multiply
    3,090.30x = 4,265.91 × 1,971.30
  4. Step 4: Simplify right side
    3,090.30x = 8,409,388.38
  5. Step 5: Solve for x
    x = 8,409,388.38/3,090.30
  6. Step 6: Final answer
    x = 2,721.22

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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.