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Finding the Fourth Proportional to 2,084.76, 3,123.72 and 2,004.84

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Solution

The fourth proportional to 2,084.76, 3,123.72 and 2,004.84 is: 3,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.76 : 3,123.72 = 2,004.84 : x
  2. Step 2: Convert to fraction form
    2,084.76/3,123.72 = 2,004.84/x
  3. Step 3: Cross multiply
    2,084.76x = 3,123.72 × 2,004.84
  4. Step 4: Simplify right side
    2,084.76x = 6,262,558.80
  5. Step 5: Solve for x
    x = 6,262,558.80/2,084.76
  6. Step 6: Final answer
    x = 3,003.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.