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Finding the Fourth Proportional to 2,544.85, 3,817.34 and 813.47

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Solution

The fourth proportional to 2,544.85, 3,817.34 and 813.47 is: 1,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544.85 : 3,817.34 = 813.47 : x
  2. Step 2: Convert to fraction form
    2,544.85/3,817.34 = 813.47/x
  3. Step 3: Cross multiply
    2,544.85x = 3,817.34 × 813.47
  4. Step 4: Simplify right side
    2,544.85x = 3,105,303.15
  5. Step 5: Solve for x
    x = 3,105,303.15/2,544.85
  6. Step 6: Final answer
    x = 1,220.23

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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.