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Finding the Fourth Proportional to 2,498.07, 3,447.03 and 1,503.30

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Solution

The fourth proportional to 2,498.07, 3,447.03 and 1,503.30 is: 2,074.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,498.07 : 3,447.03 = 1,503.30 : x
  2. Step 2: Convert to fraction form
    2,498.07/3,447.03 = 1,503.30/x
  3. Step 3: Cross multiply
    2,498.07x = 3,447.03 × 1,503.30
  4. Step 4: Simplify right side
    2,498.07x = 5,181,920.20
  5. Step 5: Solve for x
    x = 5,181,920.20/2,498.07
  6. Step 6: Final answer
    x = 2,074.37

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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.