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Finding the Fourth Proportional to 1,508.35, 2,258.63 and 892.49

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Solution

The fourth proportional to 1,508.35, 2,258.63 and 892.49 is: 1,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.35 : 2,258.63 = 892.49 : x
  2. Step 2: Convert to fraction form
    1,508.35/2,258.63 = 892.49/x
  3. Step 3: Cross multiply
    1,508.35x = 2,258.63 × 892.49
  4. Step 4: Simplify right side
    1,508.35x = 2,015,816.36
  5. Step 5: Solve for x
    x = 2,015,816.36/1,508.35
  6. Step 6: Final answer
    x = 1,336.44

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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.