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Finding the Fourth Proportional to 2,369.40, 3,270.83 and 1,740.03

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Solution

The fourth proportional to 2,369.40, 3,270.83 and 1,740.03 is: 2,402.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.40 : 3,270.83 = 1,740.03 : x
  2. Step 2: Convert to fraction form
    2,369.40/3,270.83 = 1,740.03/x
  3. Step 3: Cross multiply
    2,369.40x = 3,270.83 × 1,740.03
  4. Step 4: Simplify right side
    2,369.40x = 5,691,333.62
  5. Step 5: Solve for x
    x = 5,691,333.62/2,369.40
  6. Step 6: Final answer
    x = 2,402.01

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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.