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Finding the Fourth Proportional to 2,363.37, 3,261.95 and 1,419.20

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Solution

The fourth proportional to 2,363.37, 3,261.95 and 1,419.20 is: 1,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.37 : 3,261.95 = 1,419.20 : x
  2. Step 2: Convert to fraction form
    2,363.37/3,261.95 = 1,419.20/x
  3. Step 3: Cross multiply
    2,363.37x = 3,261.95 × 1,419.20
  4. Step 4: Simplify right side
    2,363.37x = 4,629,360.50
  5. Step 5: Solve for x
    x = 4,629,360.50/2,363.37
  6. Step 6: Final answer
    x = 1,958.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.