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Finding the Fourth Proportional to 2,462.36, 3,685.01 and 2,018.48

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Solution

The fourth proportional to 2,462.36, 3,685.01 and 2,018.48 is: 3,020.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.36 : 3,685.01 = 2,018.48 : x
  2. Step 2: Convert to fraction form
    2,462.36/3,685.01 = 2,018.48/x
  3. Step 3: Cross multiply
    2,462.36x = 3,685.01 × 2,018.48
  4. Step 4: Simplify right side
    2,462.36x = 7,438,090.47
  5. Step 5: Solve for x
    x = 7,438,090.47/2,462.36
  6. Step 6: Final answer
    x = 3,020.72

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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.