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Finding the Fourth Proportional to 1,604.03, 2,210.49 and 1,105.76

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Solution

The fourth proportional to 1,604.03, 2,210.49 and 1,105.76 is: 1,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.03 : 2,210.49 = 1,105.76 : x
  2. Step 2: Convert to fraction form
    1,604.03/2,210.49 = 1,105.76/x
  3. Step 3: Cross multiply
    1,604.03x = 2,210.49 × 1,105.76
  4. Step 4: Simplify right side
    1,604.03x = 2,444,260.37
  5. Step 5: Solve for x
    x = 2,444,260.37/1,604.03
  6. Step 6: Final answer
    x = 1,523.83

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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.