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Finding the Fourth Proportional to 1,905.29, 2,853.03 and 1,319.45

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Solution

The fourth proportional to 1,905.29, 2,853.03 and 1,319.45 is: 1,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,905.29 : 2,853.03 = 1,319.45 : x
  2. Step 2: Convert to fraction form
    1,905.29/2,853.03 = 1,319.45/x
  3. Step 3: Cross multiply
    1,905.29x = 2,853.03 × 1,319.45
  4. Step 4: Simplify right side
    1,905.29x = 3,764,430.43
  5. Step 5: Solve for x
    x = 3,764,430.43/1,905.29
  6. Step 6: Final answer
    x = 1,975.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.