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Finding the Fourth Proportional to 2,612.27, 3,604.95 and 1,433.38

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Solution

The fourth proportional to 2,612.27, 3,604.95 and 1,433.38 is: 1,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.27 : 3,604.95 = 1,433.38 : x
  2. Step 2: Convert to fraction form
    2,612.27/3,604.95 = 1,433.38/x
  3. Step 3: Cross multiply
    2,612.27x = 3,604.95 × 1,433.38
  4. Step 4: Simplify right side
    2,612.27x = 5,167,254.22
  5. Step 5: Solve for x
    x = 5,167,254.22/2,612.27
  6. Step 6: Final answer
    x = 1,978.07

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Why These Related Problems?

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