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Finding the Fourth Proportional to 1,247.46, 1,874.16 and 1,173.76

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Solution

The fourth proportional to 1,247.46, 1,874.16 and 1,173.76 is: 1,763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.46 : 1,874.16 = 1,173.76 : x
  2. Step 2: Convert to fraction form
    1,247.46/1,874.16 = 1,173.76/x
  3. Step 3: Cross multiply
    1,247.46x = 1,874.16 × 1,173.76
  4. Step 4: Simplify right side
    1,247.46x = 2,199,814.04
  5. Step 5: Solve for x
    x = 2,199,814.04/1,247.46
  6. Step 6: Final answer
    x = 1,763.43

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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.