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Finding the Fourth Proportional to 2,062.08, 3,093.12 and 675.41

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Solution

The fourth proportional to 2,062.08, 3,093.12 and 675.41 is: 1,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.08 : 3,093.12 = 675.41 : x
  2. Step 2: Convert to fraction form
    2,062.08/3,093.12 = 675.41/x
  3. Step 3: Cross multiply
    2,062.08x = 3,093.12 × 675.41
  4. Step 4: Simplify right side
    2,062.08x = 2,089,108.71
  5. Step 5: Solve for x
    x = 2,089,108.71/2,062.08
  6. Step 6: Final answer
    x = 1,013.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.