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Finding the Fourth Proportional to 1,930.52, 2,896 and 890.58

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Solution

The fourth proportional to 1,930.52, 2,896 and 890.58 is: 1,335.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.52 : 2,896 = 890.58 : x
  2. Step 2: Convert to fraction form
    1,930.52/2,896 = 890.58/x
  3. Step 3: Cross multiply
    1,930.52x = 2,896 × 890.58
  4. Step 4: Simplify right side
    1,930.52x = 2,579,119.68
  5. Step 5: Solve for x
    x = 2,579,119.68/1,930.52
  6. Step 6: Final answer
    x = 1,335.97

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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.