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Finding the Fourth Proportional to 1,446.03, 1,994.09 and 1,165.37

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Solution

The fourth proportional to 1,446.03, 1,994.09 and 1,165.37 is: 1,607.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.03 : 1,994.09 = 1,165.37 : x
  2. Step 2: Convert to fraction form
    1,446.03/1,994.09 = 1,165.37/x
  3. Step 3: Cross multiply
    1,446.03x = 1,994.09 × 1,165.37
  4. Step 4: Simplify right side
    1,446.03x = 2,323,836.87
  5. Step 5: Solve for x
    x = 2,323,836.87/1,446.03
  6. Step 6: Final answer
    x = 1,607.05

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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.