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Finding the Fourth Proportional to 2,485.72, 3,447.84 and 2,397.07

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Solution

The fourth proportional to 2,485.72, 3,447.84 and 2,397.07 is: 3,324.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,485.72 : 3,447.84 = 2,397.07 : x
  2. Step 2: Convert to fraction form
    2,485.72/3,447.84 = 2,397.07/x
  3. Step 3: Cross multiply
    2,485.72x = 3,447.84 × 2,397.07
  4. Step 4: Simplify right side
    2,485.72x = 8,264,713.83
  5. Step 5: Solve for x
    x = 8,264,713.83/2,485.72
  6. Step 6: Final answer
    x = 3,324.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.