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Finding the Fourth Proportional to 2,614.56, 3,608.13 and 1,435.74

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Solution

The fourth proportional to 2,614.56, 3,608.13 and 1,435.74 is: 1,981.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.56 : 3,608.13 = 1,435.74 : x
  2. Step 2: Convert to fraction form
    2,614.56/3,608.13 = 1,435.74/x
  3. Step 3: Cross multiply
    2,614.56x = 3,608.13 × 1,435.74
  4. Step 4: Simplify right side
    2,614.56x = 5,180,336.57
  5. Step 5: Solve for x
    x = 5,180,336.57/2,614.56
  6. Step 6: Final answer
    x = 1,981.34

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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.