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Finding the Fourth Proportional to 1,625.56, 2,242.54 and 1,035.73

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Solution

The fourth proportional to 1,625.56, 2,242.54 and 1,035.73 is: 1,428.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,625.56 : 2,242.54 = 1,035.73 : x
  2. Step 2: Convert to fraction form
    1,625.56/2,242.54 = 1,035.73/x
  3. Step 3: Cross multiply
    1,625.56x = 2,242.54 × 1,035.73
  4. Step 4: Simplify right side
    1,625.56x = 2,322,662.93
  5. Step 5: Solve for x
    x = 2,322,662.93/1,625.56
  6. Step 6: Final answer
    x = 1,428.84

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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.