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Finding the Fourth Proportional to 2,971.22, 4,102.47 and 2,264.30

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Solution

The fourth proportional to 2,971.22, 4,102.47 and 2,264.30 is: 3,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.22 : 4,102.47 = 2,264.30 : x
  2. Step 2: Convert to fraction form
    2,971.22/4,102.47 = 2,264.30/x
  3. Step 3: Cross multiply
    2,971.22x = 4,102.47 × 2,264.30
  4. Step 4: Simplify right side
    2,971.22x = 9,289,202.31
  5. Step 5: Solve for x
    x = 9,289,202.31/2,971.22
  6. Step 6: Final answer
    x = 3,126.39

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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.