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Finding the Fourth Proportional to 1,671.44, 2,508.68 and 892.10

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Solution

The fourth proportional to 1,671.44, 2,508.68 and 892.10 is: 1,338.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.44 : 2,508.68 = 892.10 : x
  2. Step 2: Convert to fraction form
    1,671.44/2,508.68 = 892.10/x
  3. Step 3: Cross multiply
    1,671.44x = 2,508.68 × 892.10
  4. Step 4: Simplify right side
    1,671.44x = 2,237,993.43
  5. Step 5: Solve for x
    x = 2,237,993.43/1,671.44
  6. Step 6: Final answer
    x = 1,338.96

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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.