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Finding the Fourth Proportional to 2,612.01, 3,604.62 and 1,433.07

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Solution

The fourth proportional to 2,612.01, 3,604.62 and 1,433.07 is: 1,977.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.01 : 3,604.62 = 1,433.07 : x
  2. Step 2: Convert to fraction form
    2,612.01/3,604.62 = 1,433.07/x
  3. Step 3: Cross multiply
    2,612.01x = 3,604.62 × 1,433.07
  4. Step 4: Simplify right side
    2,612.01x = 5,165,672.78
  5. Step 5: Solve for x
    x = 5,165,672.78/2,612.01
  6. Step 6: Final answer
    x = 1,977.66

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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.