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Finding the Fourth Proportional to 1,494.09, 2,241.27 and 672.45

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Solution

The fourth proportional to 1,494.09, 2,241.27 and 672.45 is: 1,008.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.09 : 2,241.27 = 672.45 : x
  2. Step 2: Convert to fraction form
    1,494.09/2,241.27 = 672.45/x
  3. Step 3: Cross multiply
    1,494.09x = 2,241.27 × 672.45
  4. Step 4: Simplify right side
    1,494.09x = 1,507,142.01
  5. Step 5: Solve for x
    x = 1,507,142.01/1,494.09
  6. Step 6: Final answer
    x = 1,008.74

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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.