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Finding the Fourth Proportional to 2,094.14, 3,140.46 and 612.95

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Solution

The fourth proportional to 2,094.14, 3,140.46 and 612.95 is: 919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.14 : 3,140.46 = 612.95 : x
  2. Step 2: Convert to fraction form
    2,094.14/3,140.46 = 612.95/x
  3. Step 3: Cross multiply
    2,094.14x = 3,140.46 × 612.95
  4. Step 4: Simplify right side
    2,094.14x = 1,924,929.25
  5. Step 5: Solve for x
    x = 1,924,929.25/2,094.14
  6. Step 6: Final answer
    x = 919.20

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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.