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Finding the Fourth Proportional to 1,740.23, 2,401.50 and 994.18

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Solution

The fourth proportional to 1,740.23, 2,401.50 and 994.18 is: 1,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.23 : 2,401.50 = 994.18 : x
  2. Step 2: Convert to fraction form
    1,740.23/2,401.50 = 994.18/x
  3. Step 3: Cross multiply
    1,740.23x = 2,401.50 × 994.18
  4. Step 4: Simplify right side
    1,740.23x = 2,387,524.30
  5. Step 5: Solve for x
    x = 2,387,524.30/1,740.23
  6. Step 6: Final answer
    x = 1,371.96

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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.