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Finding the Fourth Proportional to 3,166.20, 4,368.78 and 1,839.60

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Solution

The fourth proportional to 3,166.20, 4,368.78 and 1,839.60 is: 2,538.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.20 : 4,368.78 = 1,839.60 : x
  2. Step 2: Convert to fraction form
    3,166.20/4,368.78 = 1,839.60/x
  3. Step 3: Cross multiply
    3,166.20x = 4,368.78 × 1,839.60
  4. Step 4: Simplify right side
    3,166.20x = 8,036,807.69
  5. Step 5: Solve for x
    x = 8,036,807.69/3,166.20
  6. Step 6: Final answer
    x = 2,538.31

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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.