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Finding the Fourth Proportional to 2,968.47, 4,454.43 and 1,213.20

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Solution

The fourth proportional to 2,968.47, 4,454.43 and 1,213.20 is: 1,820.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.47 : 4,454.43 = 1,213.20 : x
  2. Step 2: Convert to fraction form
    2,968.47/4,454.43 = 1,213.20/x
  3. Step 3: Cross multiply
    2,968.47x = 4,454.43 × 1,213.20
  4. Step 4: Simplify right side
    2,968.47x = 5,404,114.48
  5. Step 5: Solve for x
    x = 5,404,114.48/2,968.47
  6. Step 6: Final answer
    x = 1,820.50

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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.