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Finding the Fourth Proportional to 1,740.16, 2,401.41 and 994.42

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Solution

The fourth proportional to 1,740.16, 2,401.41 and 994.42 is: 1,372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740.16 : 2,401.41 = 994.42 : x
  2. Step 2: Convert to fraction form
    1,740.16/2,401.41 = 994.42/x
  3. Step 3: Cross multiply
    1,740.16x = 2,401.41 × 994.42
  4. Step 4: Simplify right side
    1,740.16x = 2,388,010.13
  5. Step 5: Solve for x
    x = 2,388,010.13/1,740.16
  6. Step 6: Final answer
    x = 1,372.29

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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.