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Finding the Fourth Proportional to 2,575.98, 3,564.23 and 2,245.10

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Solution

The fourth proportional to 2,575.98, 3,564.23 and 2,245.10 is: 3,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.98 : 3,564.23 = 2,245.10 : x
  2. Step 2: Convert to fraction form
    2,575.98/3,564.23 = 2,245.10/x
  3. Step 3: Cross multiply
    2,575.98x = 3,564.23 × 2,245.10
  4. Step 4: Simplify right side
    2,575.98x = 8,002,023.73
  5. Step 5: Solve for x
    x = 8,002,023.73/2,575.98
  6. Step 6: Final answer
    x = 3,106.40

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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.