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Finding the Fourth Proportional to 1,846.44, 2,548.02 and 1,100.01

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Solution

The fourth proportional to 1,846.44, 2,548.02 and 1,100.01 is: 1,517.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,846.44 : 2,548.02 = 1,100.01 : x
  2. Step 2: Convert to fraction form
    1,846.44/2,548.02 = 1,100.01/x
  3. Step 3: Cross multiply
    1,846.44x = 2,548.02 × 1,100.01
  4. Step 4: Simplify right side
    1,846.44x = 2,802,853.99
  5. Step 5: Solve for x
    x = 2,802,853.99/1,846.44
  6. Step 6: Final answer
    x = 1,517.98

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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.