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Finding the Fourth Proportional to 2,420.54, 3,620.64 and 2,040.24

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Solution

The fourth proportional to 2,420.54, 3,620.64 and 2,040.24 is: 3,051.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.54 : 3,620.64 = 2,040.24 : x
  2. Step 2: Convert to fraction form
    2,420.54/3,620.64 = 2,040.24/x
  3. Step 3: Cross multiply
    2,420.54x = 3,620.64 × 2,040.24
  4. Step 4: Simplify right side
    2,420.54x = 7,386,974.55
  5. Step 5: Solve for x
    x = 7,386,974.55/2,420.54
  6. Step 6: Final answer
    x = 3,051.79

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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.