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Finding the Fourth Proportional to 2,812.19, 4,216.84 and 1,644.47

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Solution

The fourth proportional to 2,812.19, 4,216.84 and 1,644.47 is: 2,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812.19 : 4,216.84 = 1,644.47 : x
  2. Step 2: Convert to fraction form
    2,812.19/4,216.84 = 1,644.47/x
  3. Step 3: Cross multiply
    2,812.19x = 4,216.84 × 1,644.47
  4. Step 4: Simplify right side
    2,812.19x = 6,934,466.97
  5. Step 5: Solve for x
    x = 6,934,466.97/2,812.19
  6. Step 6: Final answer
    x = 2,465.86

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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.