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Finding the Fourth Proportional to 2,378.73, 3,283.55 and 2,129.60

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Solution

The fourth proportional to 2,378.73, 3,283.55 and 2,129.60 is: 2,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.73 : 3,283.55 = 2,129.60 : x
  2. Step 2: Convert to fraction form
    2,378.73/3,283.55 = 2,129.60/x
  3. Step 3: Cross multiply
    2,378.73x = 3,283.55 × 2,129.60
  4. Step 4: Simplify right side
    2,378.73x = 6,992,621.01
  5. Step 5: Solve for x
    x = 6,992,621.01/2,378.73
  6. Step 6: Final answer
    x = 2,939.64

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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.