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Finding the Fourth Proportional to 1,846.44, 2,548.10 and 1,018.44

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Solution

The fourth proportional to 1,846.44, 2,548.10 and 1,018.44 is: 1,405.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.44 : 2,548.10 = 1,018.44 : x
  2. Step 2: Convert to fraction form
    1,846.44/2,548.10 = 1,018.44/x
  3. Step 3: Cross multiply
    1,846.44x = 2,548.10 × 1,018.44
  4. Step 4: Simplify right side
    1,846.44x = 2,595,086.96
  5. Step 5: Solve for x
    x = 2,595,086.96/1,846.44
  6. Step 6: Final answer
    x = 1,405.45

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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.