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Finding the Fourth Proportional to 2,498.32, 3,447.72 and 1,504.64

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Solution

The fourth proportional to 2,498.32, 3,447.72 and 1,504.64 is: 2,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.32 : 3,447.72 = 1,504.64 : x
  2. Step 2: Convert to fraction form
    2,498.32/3,447.72 = 1,504.64/x
  3. Step 3: Cross multiply
    2,498.32x = 3,447.72 × 1,504.64
  4. Step 4: Simplify right side
    2,498.32x = 5,187,577.42
  5. Step 5: Solve for x
    x = 5,187,577.42/2,498.32
  6. Step 6: Final answer
    x = 2,076.43

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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.