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Finding the Fourth Proportional to 3,165.74, 4,369.02 and 1,839.36

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Solution

The fourth proportional to 3,165.74, 4,369.02 and 1,839.36 is: 2,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.74 : 4,369.02 = 1,839.36 : x
  2. Step 2: Convert to fraction form
    3,165.74/4,369.02 = 1,839.36/x
  3. Step 3: Cross multiply
    3,165.74x = 4,369.02 × 1,839.36
  4. Step 4: Simplify right side
    3,165.74x = 8,036,200.63
  5. Step 5: Solve for x
    x = 8,036,200.63/3,165.74
  6. Step 6: Final answer
    x = 2,538.49

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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.