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Finding the Fourth Proportional to 1,549.43, 2,326.74 and 965.79

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Solution

The fourth proportional to 1,549.43, 2,326.74 and 965.79 is: 1,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.43 : 2,326.74 = 965.79 : x
  2. Step 2: Convert to fraction form
    1,549.43/2,326.74 = 965.79/x
  3. Step 3: Cross multiply
    1,549.43x = 2,326.74 × 965.79
  4. Step 4: Simplify right side
    1,549.43x = 2,247,142.22
  5. Step 5: Solve for x
    x = 2,247,142.22/1,549.43
  6. Step 6: Final answer
    x = 1,450.30

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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.