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Finding the Fourth Proportional to 2,094.46, 3,140.72 and 1,930.30

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Solution

The fourth proportional to 2,094.46, 3,140.72 and 1,930.30 is: 2,894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.46 : 3,140.72 = 1,930.30 : x
  2. Step 2: Convert to fraction form
    2,094.46/3,140.72 = 1,930.30/x
  3. Step 3: Cross multiply
    2,094.46x = 3,140.72 × 1,930.30
  4. Step 4: Simplify right side
    2,094.46x = 6,062,536.64
  5. Step 5: Solve for x
    x = 6,062,536.64/2,094.46
  6. Step 6: Final answer
    x = 2,894.56

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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.