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Finding the Fourth Proportional to 1,889.08, 2,606.84 and 1,049.84

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Solution

The fourth proportional to 1,889.08, 2,606.84 and 1,049.84 is: 1,448.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,889.08 : 2,606.84 = 1,049.84 : x
  2. Step 2: Convert to fraction form
    1,889.08/2,606.84 = 1,049.84/x
  3. Step 3: Cross multiply
    1,889.08x = 2,606.84 × 1,049.84
  4. Step 4: Simplify right side
    1,889.08x = 2,736,754.50
  5. Step 5: Solve for x
    x = 2,736,754.50/1,889.08
  6. Step 6: Final answer
    x = 1,448.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.