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Finding the Fourth Proportional to 1,549.64, 2,324.62 and 672.23

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Solution

The fourth proportional to 1,549.64, 2,324.62 and 672.23 is: 1,008.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.64 : 2,324.62 = 672.23 : x
  2. Step 2: Convert to fraction form
    1,549.64/2,324.62 = 672.23/x
  3. Step 3: Cross multiply
    1,549.64x = 2,324.62 × 672.23
  4. Step 4: Simplify right side
    1,549.64x = 1,562,679.30
  5. Step 5: Solve for x
    x = 1,562,679.30/1,549.64
  6. Step 6: Final answer
    x = 1,008.41

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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.