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Finding the Fourth Proportional to 2,469.72, 3,705.30 and 1,172.28

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Solution

The fourth proportional to 2,469.72, 3,705.30 and 1,172.28 is: 1,758.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.72 : 3,705.30 = 1,172.28 : x
  2. Step 2: Convert to fraction form
    2,469.72/3,705.30 = 1,172.28/x
  3. Step 3: Cross multiply
    2,469.72x = 3,705.30 × 1,172.28
  4. Step 4: Simplify right side
    2,469.72x = 4,343,649.08
  5. Step 5: Solve for x
    x = 4,343,649.08/2,469.72
  6. Step 6: Final answer
    x = 1,758.76

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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.