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Finding the Fourth Proportional to 2,470.62, 3,410.88 and 1,844.60

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Solution

The fourth proportional to 2,470.62, 3,410.88 and 1,844.60 is: 2,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.62 : 3,410.88 = 1,844.60 : x
  2. Step 2: Convert to fraction form
    2,470.62/3,410.88 = 1,844.60/x
  3. Step 3: Cross multiply
    2,470.62x = 3,410.88 × 1,844.60
  4. Step 4: Simplify right side
    2,470.62x = 6,291,709.25
  5. Step 5: Solve for x
    x = 6,291,709.25/2,470.62
  6. Step 6: Final answer
    x = 2,546.61

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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.