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Finding the Fourth Proportional to 2,612.16, 3,604.84 and 1,433.31

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Solution

The fourth proportional to 2,612.16, 3,604.84 and 1,433.31 is: 1,977.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.16 : 3,604.84 = 1,433.31 : x
  2. Step 2: Convert to fraction form
    2,612.16/3,604.84 = 1,433.31/x
  3. Step 3: Cross multiply
    2,612.16x = 3,604.84 × 1,433.31
  4. Step 4: Simplify right side
    2,612.16x = 5,166,836.12
  5. Step 5: Solve for x
    x = 5,166,836.12/2,612.16
  6. Step 6: Final answer
    x = 1,977.99

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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.