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Finding the Fourth Proportional to 2,356.46, 3,244.50 and 2,001.62

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Solution

The fourth proportional to 2,356.46, 3,244.50 and 2,001.62 is: 2,755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.46 : 3,244.50 = 2,001.62 : x
  2. Step 2: Convert to fraction form
    2,356.46/3,244.50 = 2,001.62/x
  3. Step 3: Cross multiply
    2,356.46x = 3,244.50 × 2,001.62
  4. Step 4: Simplify right side
    2,356.46x = 6,494,256.09
  5. Step 5: Solve for x
    x = 6,494,256.09/2,356.46
  6. Step 6: Final answer
    x = 2,755.94

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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.