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Finding the Fourth Proportional to 2,235.54, 3,338.25 and 1,825.47

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Solution

The fourth proportional to 2,235.54, 3,338.25 and 1,825.47 is: 2,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.54 : 3,338.25 = 1,825.47 : x
  2. Step 2: Convert to fraction form
    2,235.54/3,338.25 = 1,825.47/x
  3. Step 3: Cross multiply
    2,235.54x = 3,338.25 × 1,825.47
  4. Step 4: Simplify right side
    2,235.54x = 6,093,875.23
  5. Step 5: Solve for x
    x = 6,093,875.23/2,235.54
  6. Step 6: Final answer
    x = 2,725.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.