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Finding the Fourth Proportional to 2,390.46, 3,297.15 and 1,603.14

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Solution

The fourth proportional to 2,390.46, 3,297.15 and 1,603.14 is: 2,211.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,390.46 : 3,297.15 = 1,603.14 : x
  2. Step 2: Convert to fraction form
    2,390.46/3,297.15 = 1,603.14/x
  3. Step 3: Cross multiply
    2,390.46x = 3,297.15 × 1,603.14
  4. Step 4: Simplify right side
    2,390.46x = 5,285,793.05
  5. Step 5: Solve for x
    x = 5,285,793.05/2,390.46
  6. Step 6: Final answer
    x = 2,211.20

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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.