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Finding the Fourth Proportional to 1,808.14, 2,494.02 and 1,144.36

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Solution

The fourth proportional to 1,808.14, 2,494.02 and 1,144.36 is: 1,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,808.14 : 2,494.02 = 1,144.36 : x
  2. Step 2: Convert to fraction form
    1,808.14/2,494.02 = 1,144.36/x
  3. Step 3: Cross multiply
    1,808.14x = 2,494.02 × 1,144.36
  4. Step 4: Simplify right side
    1,808.14x = 2,854,056.73
  5. Step 5: Solve for x
    x = 2,854,056.73/1,808.14
  6. Step 6: Final answer
    x = 1,578.45

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