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Finding the Fourth Proportional to 1,905.44, 2,856 and 808.16

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Solution

The fourth proportional to 1,905.44, 2,856 and 808.16 is: 1,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.44 : 2,856 = 808.16 : x
  2. Step 2: Convert to fraction form
    1,905.44/2,856 = 808.16/x
  3. Step 3: Cross multiply
    1,905.44x = 2,856 × 808.16
  4. Step 4: Simplify right side
    1,905.44x = 2,308,104.96
  5. Step 5: Solve for x
    x = 2,308,104.96/1,905.44
  6. Step 6: Final answer
    x = 1,211.32

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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.