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Finding the Fourth Proportional to 1,525.54, 2,283.42 and 1,201.54

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Solution

The fourth proportional to 1,525.54, 2,283.42 and 1,201.54 is: 1,798.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.54 : 2,283.42 = 1,201.54 : x
  2. Step 2: Convert to fraction form
    1,525.54/2,283.42 = 1,201.54/x
  3. Step 3: Cross multiply
    1,525.54x = 2,283.42 × 1,201.54
  4. Step 4: Simplify right side
    1,525.54x = 2,743,620.47
  5. Step 5: Solve for x
    x = 2,743,620.47/1,525.54
  6. Step 6: Final answer
    x = 1,798.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.