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Finding the Fourth Proportional to 2,014.60, 3,021.90 and 1,192.45

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Solution

The fourth proportional to 2,014.60, 3,021.90 and 1,192.45 is: 1,788.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.60 : 3,021.90 = 1,192.45 : x
  2. Step 2: Convert to fraction form
    2,014.60/3,021.90 = 1,192.45/x
  3. Step 3: Cross multiply
    2,014.60x = 3,021.90 × 1,192.45
  4. Step 4: Simplify right side
    2,014.60x = 3,603,464.66
  5. Step 5: Solve for x
    x = 3,603,464.66/2,014.60
  6. Step 6: Final answer
    x = 1,788.68

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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.