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Finding the Fourth Proportional to 2,451.57, 3,677.37 and 892.68

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Solution

The fourth proportional to 2,451.57, 3,677.37 and 892.68 is: 1,339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,451.57 : 3,677.37 = 892.68 : x
  2. Step 2: Convert to fraction form
    2,451.57/3,677.37 = 892.68/x
  3. Step 3: Cross multiply
    2,451.57x = 3,677.37 × 892.68
  4. Step 4: Simplify right side
    2,451.57x = 3,282,714.65
  5. Step 5: Solve for x
    x = 3,282,714.65/2,451.57
  6. Step 6: Final answer
    x = 1,339.03

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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.