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Finding the Fourth Proportional to 2,805.37, 4,209.26 and 1,505.32

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Solution

The fourth proportional to 2,805.37, 4,209.26 and 1,505.32 is: 2,258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.37 : 4,209.26 = 1,505.32 : x
  2. Step 2: Convert to fraction form
    2,805.37/4,209.26 = 1,505.32/x
  3. Step 3: Cross multiply
    2,805.37x = 4,209.26 × 1,505.32
  4. Step 4: Simplify right side
    2,805.37x = 6,336,276.50
  5. Step 5: Solve for x
    x = 6,336,276.50/2,805.37
  6. Step 6: Final answer
    x = 2,258.63

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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.