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Finding the Fourth Proportional to 2,297.90, 3,170.70 and 1,303.04

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Solution

The fourth proportional to 2,297.90, 3,170.70 and 1,303.04 is: 1,797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.90 : 3,170.70 = 1,303.04 : x
  2. Step 2: Convert to fraction form
    2,297.90/3,170.70 = 1,303.04/x
  3. Step 3: Cross multiply
    2,297.90x = 3,170.70 × 1,303.04
  4. Step 4: Simplify right side
    2,297.90x = 4,131,548.93
  5. Step 5: Solve for x
    x = 4,131,548.93/2,297.90
  6. Step 6: Final answer
    x = 1,797.97

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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.