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Finding the Fourth Proportional to 1,825.60, 2,738.08 and 1,003.60

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Solution

The fourth proportional to 1,825.60, 2,738.08 and 1,003.60 is: 1,505.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.60 : 2,738.08 = 1,003.60 : x
  2. Step 2: Convert to fraction form
    1,825.60/2,738.08 = 1,003.60/x
  3. Step 3: Cross multiply
    1,825.60x = 2,738.08 × 1,003.60
  4. Step 4: Simplify right side
    1,825.60x = 2,747,937.09
  5. Step 5: Solve for x
    x = 2,747,937.09/1,825.60
  6. Step 6: Final answer
    x = 1,505.22

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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.