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Finding the Fourth Proportional to 3,437.69, 4,743.98 and 1,945.60

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Solution

The fourth proportional to 3,437.69, 4,743.98 and 1,945.60 is: 2,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,437.69 : 4,743.98 = 1,945.60 : x
  2. Step 2: Convert to fraction form
    3,437.69/4,743.98 = 1,945.60/x
  3. Step 3: Cross multiply
    3,437.69x = 4,743.98 × 1,945.60
  4. Step 4: Simplify right side
    3,437.69x = 9,229,880.49
  5. Step 5: Solve for x
    x = 9,229,880.49/3,437.69
  6. Step 6: Final answer
    x = 2,684.91

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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.