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Finding the Fourth Proportional to 1,884.35, 2,809.97 and 1,842.50

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Solution

The fourth proportional to 1,884.35, 2,809.97 and 1,842.50 is: 2,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.35 : 2,809.97 = 1,842.50 : x
  2. Step 2: Convert to fraction form
    1,884.35/2,809.97 = 1,842.50/x
  3. Step 3: Cross multiply
    1,884.35x = 2,809.97 × 1,842.50
  4. Step 4: Simplify right side
    1,884.35x = 5,177,346.46
  5. Step 5: Solve for x
    x = 5,177,346.46/1,884.35
  6. Step 6: Final answer
    x = 2,747.56

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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.