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Finding the Fourth Proportional to 2,230.60, 3,344.70 and 930.60

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Solution

The fourth proportional to 2,230.60, 3,344.70 and 930.60 is: 1,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.60 : 3,344.70 = 930.60 : x
  2. Step 2: Convert to fraction form
    2,230.60/3,344.70 = 930.60/x
  3. Step 3: Cross multiply
    2,230.60x = 3,344.70 × 930.60
  4. Step 4: Simplify right side
    2,230.60x = 3,112,577.82
  5. Step 5: Solve for x
    x = 3,112,577.82/2,230.60
  6. Step 6: Final answer
    x = 1,395.40

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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.