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Finding the Fourth Proportional to 2,544, 3,508.32 and 2,345.44

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Solution

The fourth proportional to 2,544, 3,508.32 and 2,345.44 is: 3,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544 : 3,508.32 = 2,345.44 : x
  2. Step 2: Convert to fraction form
    2,544/3,508.32 = 2,345.44/x
  3. Step 3: Cross multiply
    2,544x = 3,508.32 × 2,345.44
  4. Step 4: Simplify right side
    2,544x = 8,228,554.06
  5. Step 5: Solve for x
    x = 8,228,554.06/2,544
  6. Step 6: Final answer
    x = 3,234.49

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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.