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Finding the Fourth Proportional to 2,009.30, 2,999.24 and 1,856.20

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Solution

The fourth proportional to 2,009.30, 2,999.24 and 1,856.20 is: 2,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.30 : 2,999.24 = 1,856.20 : x
  2. Step 2: Convert to fraction form
    2,009.30/2,999.24 = 1,856.20/x
  3. Step 3: Cross multiply
    2,009.30x = 2,999.24 × 1,856.20
  4. Step 4: Simplify right side
    2,009.30x = 5,567,189.29
  5. Step 5: Solve for x
    x = 5,567,189.29/2,009.30
  6. Step 6: Final answer
    x = 2,770.71

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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.