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Finding the Fourth Proportional to 2,003.94, 2,980.46 and 1,962.43

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Solution

The fourth proportional to 2,003.94, 2,980.46 and 1,962.43 is: 2,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,003.94 : 2,980.46 = 1,962.43 : x
  2. Step 2: Convert to fraction form
    2,003.94/2,980.46 = 1,962.43/x
  3. Step 3: Cross multiply
    2,003.94x = 2,980.46 × 1,962.43
  4. Step 4: Simplify right side
    2,003.94x = 5,848,941.57
  5. Step 5: Solve for x
    x = 5,848,941.57/2,003.94
  6. Step 6: Final answer
    x = 2,918.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.