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Finding the Fourth Proportional to 1,485.42, 2,230.44 and 1,419.70

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Solution

The fourth proportional to 1,485.42, 2,230.44 and 1,419.70 is: 2,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,485.42 : 2,230.44 = 1,419.70 : x
  2. Step 2: Convert to fraction form
    1,485.42/2,230.44 = 1,419.70/x
  3. Step 3: Cross multiply
    1,485.42x = 2,230.44 × 1,419.70
  4. Step 4: Simplify right side
    1,485.42x = 3,166,544.52
  5. Step 5: Solve for x
    x = 3,166,544.52/1,485.42
  6. Step 6: Final answer
    x = 2,131.75

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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.