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Finding the Fourth Proportional to 1,930.43, 2,893.46 and 1,774.67

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Solution

The fourth proportional to 1,930.43, 2,893.46 and 1,774.67 is: 2,659.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.43 : 2,893.46 = 1,774.67 : x
  2. Step 2: Convert to fraction form
    1,930.43/2,893.46 = 1,774.67/x
  3. Step 3: Cross multiply
    1,930.43x = 2,893.46 × 1,774.67
  4. Step 4: Simplify right side
    1,930.43x = 5,134,913.32
  5. Step 5: Solve for x
    x = 5,134,913.32/1,930.43
  6. Step 6: Final answer
    x = 2,659.98

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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.