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Finding the Fourth Proportional to 2,548.47, 3,820.01 and 1,450.47

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Solution

The fourth proportional to 2,548.47, 3,820.01 and 1,450.47 is: 2,174.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.47 : 3,820.01 = 1,450.47 : x
  2. Step 2: Convert to fraction form
    2,548.47/3,820.01 = 1,450.47/x
  3. Step 3: Cross multiply
    2,548.47x = 3,820.01 × 1,450.47
  4. Step 4: Simplify right side
    2,548.47x = 5,540,809.90
  5. Step 5: Solve for x
    x = 5,540,809.90/2,548.47
  6. Step 6: Final answer
    x = 2,174.17

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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.