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Finding the Fourth Proportional to 2,064.70, 3,091.20 and 1,603.30

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Solution

The fourth proportional to 2,064.70, 3,091.20 and 1,603.30 is: 2,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.70 : 3,091.20 = 1,603.30 : x
  2. Step 2: Convert to fraction form
    2,064.70/3,091.20 = 1,603.30/x
  3. Step 3: Cross multiply
    2,064.70x = 3,091.20 × 1,603.30
  4. Step 4: Simplify right side
    2,064.70x = 4,956,120.96
  5. Step 5: Solve for x
    x = 4,956,120.96/2,064.70
  6. Step 6: Final answer
    x = 2,400.41

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