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Finding the Fourth Proportional to 2,297.72, 3,170.94 and 1,303.07

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Solution

The fourth proportional to 2,297.72, 3,170.94 and 1,303.07 is: 1,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.72 : 3,170.94 = 1,303.07 : x
  2. Step 2: Convert to fraction form
    2,297.72/3,170.94 = 1,303.07/x
  3. Step 3: Cross multiply
    2,297.72x = 3,170.94 × 1,303.07
  4. Step 4: Simplify right side
    2,297.72x = 4,131,940.93
  5. Step 5: Solve for x
    x = 4,131,940.93/2,297.72
  6. Step 6: Final answer
    x = 1,798.28

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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.