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Finding the Fourth Proportional to 2,374.08, 3,561.60 and 1,641.60

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Solution

The fourth proportional to 2,374.08, 3,561.60 and 1,641.60 is: 2,462.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.08 : 3,561.60 = 1,641.60 : x
  2. Step 2: Convert to fraction form
    2,374.08/3,561.60 = 1,641.60/x
  3. Step 3: Cross multiply
    2,374.08x = 3,561.60 × 1,641.60
  4. Step 4: Simplify right side
    2,374.08x = 5,846,722.56
  5. Step 5: Solve for x
    x = 5,846,722.56/2,374.08
  6. Step 6: Final answer
    x = 2,462.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.