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Finding the Fourth Proportional to 3,024.42, 4,174.38 and 1,975.88

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Solution

The fourth proportional to 3,024.42, 4,174.38 and 1,975.88 is: 2,727.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.42 : 4,174.38 = 1,975.88 : x
  2. Step 2: Convert to fraction form
    3,024.42/4,174.38 = 1,975.88/x
  3. Step 3: Cross multiply
    3,024.42x = 4,174.38 × 1,975.88
  4. Step 4: Simplify right side
    3,024.42x = 8,248,073.95
  5. Step 5: Solve for x
    x = 8,248,073.95/3,024.42
  6. Step 6: Final answer
    x = 2,727.16

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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.