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Finding the Fourth Proportional to 2,356.97, 3,245.22 and 2,002.19

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Solution

The fourth proportional to 2,356.97, 3,245.22 and 2,002.19 is: 2,756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.97 : 3,245.22 = 2,002.19 : x
  2. Step 2: Convert to fraction form
    2,356.97/3,245.22 = 2,002.19/x
  3. Step 3: Cross multiply
    2,356.97x = 3,245.22 × 2,002.19
  4. Step 4: Simplify right side
    2,356.97x = 6,497,530.81
  5. Step 5: Solve for x
    x = 6,497,530.81/2,356.97
  6. Step 6: Final answer
    x = 2,756.74

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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.