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Finding the Fourth Proportional to 1,903.83, 2,848.44 and 1,082.49

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Solution

The fourth proportional to 1,903.83, 2,848.44 and 1,082.49 is: 1,619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,903.83 : 2,848.44 = 1,082.49 : x
  2. Step 2: Convert to fraction form
    1,903.83/2,848.44 = 1,082.49/x
  3. Step 3: Cross multiply
    1,903.83x = 2,848.44 × 1,082.49
  4. Step 4: Simplify right side
    1,903.83x = 3,083,407.82
  5. Step 5: Solve for x
    x = 3,083,407.82/1,903.83
  6. Step 6: Final answer
    x = 1,619.58

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Why These Related Problems?

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