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Finding the Fourth Proportional to 3,250.25, 4,485.44 and 1,853

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Solution

The fourth proportional to 3,250.25, 4,485.44 and 1,853 is: 2,557.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.25 : 4,485.44 = 1,853 : x
  2. Step 2: Convert to fraction form
    3,250.25/4,485.44 = 1,853/x
  3. Step 3: Cross multiply
    3,250.25x = 4,485.44 × 1,853
  4. Step 4: Simplify right side
    3,250.25x = 8,311,520.32
  5. Step 5: Solve for x
    x = 8,311,520.32/3,250.25
  6. Step 6: Final answer
    x = 2,557.19

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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.