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Finding the Fourth Proportional to 1,889.12, 2,606.86 and 1,049.77

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Solution

The fourth proportional to 1,889.12, 2,606.86 and 1,049.77 is: 1,448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.12 : 2,606.86 = 1,049.77 : x
  2. Step 2: Convert to fraction form
    1,889.12/2,606.86 = 1,049.77/x
  3. Step 3: Cross multiply
    1,889.12x = 2,606.86 × 1,049.77
  4. Step 4: Simplify right side
    1,889.12x = 2,736,609.96
  5. Step 5: Solve for x
    x = 2,736,609.96/1,889.12
  6. Step 6: Final answer
    x = 1,448.62

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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.