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Finding the Fourth Proportional to 2,614.37, 3,608.34 and 1,552.71

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Solution

The fourth proportional to 2,614.37, 3,608.34 and 1,552.71 is: 2,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.37 : 3,608.34 = 1,552.71 : x
  2. Step 2: Convert to fraction form
    2,614.37/3,608.34 = 1,552.71/x
  3. Step 3: Cross multiply
    2,614.37x = 3,608.34 × 1,552.71
  4. Step 4: Simplify right side
    2,614.37x = 5,602,705.60
  5. Step 5: Solve for x
    x = 5,602,705.60/2,614.37
  6. Step 6: Final answer
    x = 2,143.05

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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.