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Finding the Fourth Proportional to 2,045.41, 3,068.44 and 812.82

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Solution

The fourth proportional to 2,045.41, 3,068.44 and 812.82 is: 1,219.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,045.41 : 3,068.44 = 812.82 : x
  2. Step 2: Convert to fraction form
    2,045.41/3,068.44 = 812.82/x
  3. Step 3: Cross multiply
    2,045.41x = 3,068.44 × 812.82
  4. Step 4: Simplify right side
    2,045.41x = 2,494,098.88
  5. Step 5: Solve for x
    x = 2,494,098.88/2,045.41
  6. Step 6: Final answer
    x = 1,219.37

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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.