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Finding the Fourth Proportional to 2,064.18, 3,095.24 and 676.80

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Solution

The fourth proportional to 2,064.18, 3,095.24 and 676.80 is: 1,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.18 : 3,095.24 = 676.80 : x
  2. Step 2: Convert to fraction form
    2,064.18/3,095.24 = 676.80/x
  3. Step 3: Cross multiply
    2,064.18x = 3,095.24 × 676.80
  4. Step 4: Simplify right side
    2,064.18x = 2,094,855.05
  5. Step 5: Solve for x
    x = 2,094,855.05/2,064.18
  6. Step 6: Final answer
    x = 1,014.86

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