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Finding the Fourth Proportional to 1,416.21, 1,954.49 and 892.77

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Solution

The fourth proportional to 1,416.21, 1,954.49 and 892.77 is: 1,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.21 : 1,954.49 = 892.77 : x
  2. Step 2: Convert to fraction form
    1,416.21/1,954.49 = 892.77/x
  3. Step 3: Cross multiply
    1,416.21x = 1,954.49 × 892.77
  4. Step 4: Simplify right side
    1,416.21x = 1,744,910.04
  5. Step 5: Solve for x
    x = 1,744,910.04/1,416.21
  6. Step 6: Final answer
    x = 1,232.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.