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Finding the Fourth Proportional to 1,904.54, 2,856.30 and 808.34

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Solution

The fourth proportional to 1,904.54, 2,856.30 and 808.34 is: 1,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.54 : 2,856.30 = 808.34 : x
  2. Step 2: Convert to fraction form
    1,904.54/2,856.30 = 808.34/x
  3. Step 3: Cross multiply
    1,904.54x = 2,856.30 × 808.34
  4. Step 4: Simplify right side
    1,904.54x = 2,308,861.54
  5. Step 5: Solve for x
    x = 2,308,861.54/1,904.54
  6. Step 6: Final answer
    x = 1,212.29

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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.