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Finding the Fourth Proportional to 3,018.74, 4,165.64 and 1,840.20

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Solution

The fourth proportional to 3,018.74, 4,165.64 and 1,840.20 is: 2,539.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,018.74 : 4,165.64 = 1,840.20 : x
  2. Step 2: Convert to fraction form
    3,018.74/4,165.64 = 1,840.20/x
  3. Step 3: Cross multiply
    3,018.74x = 4,165.64 × 1,840.20
  4. Step 4: Simplify right side
    3,018.74x = 7,665,610.73
  5. Step 5: Solve for x
    x = 7,665,610.73/3,018.74
  6. Step 6: Final answer
    x = 2,539.34

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Why These Related Problems?

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