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Finding the Fourth Proportional to 2,063.05, 2,848.31 and 1,433.38

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Solution

The fourth proportional to 2,063.05, 2,848.31 and 1,433.38 is: 1,978.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.05 : 2,848.31 = 1,433.38 : x
  2. Step 2: Convert to fraction form
    2,063.05/2,848.31 = 1,433.38/x
  3. Step 3: Cross multiply
    2,063.05x = 2,848.31 × 1,433.38
  4. Step 4: Simplify right side
    2,063.05x = 4,082,710.59
  5. Step 5: Solve for x
    x = 4,082,710.59/2,063.05
  6. Step 6: Final answer
    x = 1,978.97

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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.