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Finding the Fourth Proportional to 2,451.70, 3,674.22 and 1,135

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Solution

The fourth proportional to 2,451.70, 3,674.22 and 1,135 is: 1,700.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.70 : 3,674.22 = 1,135 : x
  2. Step 2: Convert to fraction form
    2,451.70/3,674.22 = 1,135/x
  3. Step 3: Cross multiply
    2,451.70x = 3,674.22 × 1,135
  4. Step 4: Simplify right side
    2,451.70x = 4,170,239.70
  5. Step 5: Solve for x
    x = 4,170,239.70/2,451.70
  6. Step 6: Final answer
    x = 1,700.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.