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Finding the Fourth Proportional to 2,997.50, 4,494.31 and 1,242.03

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Solution

The fourth proportional to 2,997.50, 4,494.31 and 1,242.03 is: 1,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.50 : 4,494.31 = 1,242.03 : x
  2. Step 2: Convert to fraction form
    2,997.50/4,494.31 = 1,242.03/x
  3. Step 3: Cross multiply
    2,997.50x = 4,494.31 × 1,242.03
  4. Step 4: Simplify right side
    2,997.50x = 5,582,064.74
  5. Step 5: Solve for x
    x = 5,582,064.74/2,997.50
  6. Step 6: Final answer
    x = 1,862.24

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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.