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Finding the Fourth Proportional to 2,525.67, 3,485.64 and 1,463.82

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Solution

The fourth proportional to 2,525.67, 3,485.64 and 1,463.82 is: 2,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.67 : 3,485.64 = 1,463.82 : x
  2. Step 2: Convert to fraction form
    2,525.67/3,485.64 = 1,463.82/x
  3. Step 3: Cross multiply
    2,525.67x = 3,485.64 × 1,463.82
  4. Step 4: Simplify right side
    2,525.67x = 5,102,349.54
  5. Step 5: Solve for x
    x = 5,102,349.54/2,525.67
  6. Step 6: Final answer
    x = 2,020.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.