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Finding the Fourth Proportional to 2,946.41, 4,066.22 and 2,062.49

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Solution

The fourth proportional to 2,946.41, 4,066.22 and 2,062.49 is: 2,846.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.41 : 4,066.22 = 2,062.49 : x
  2. Step 2: Convert to fraction form
    2,946.41/4,066.22 = 2,062.49/x
  3. Step 3: Cross multiply
    2,946.41x = 4,066.22 × 2,062.49
  4. Step 4: Simplify right side
    2,946.41x = 8,386,553.41
  5. Step 5: Solve for x
    x = 8,386,553.41/2,946.41
  6. Step 6: Final answer
    x = 2,846.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.