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Finding the Fourth Proportional to 2,363.85, 3,262.78 and 1,419.94

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Solution

The fourth proportional to 2,363.85, 3,262.78 and 1,419.94 is: 1,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.85 : 3,262.78 = 1,419.94 : x
  2. Step 2: Convert to fraction form
    2,363.85/3,262.78 = 1,419.94/x
  3. Step 3: Cross multiply
    2,363.85x = 3,262.78 × 1,419.94
  4. Step 4: Simplify right side
    2,363.85x = 4,632,928.42
  5. Step 5: Solve for x
    x = 4,632,928.42/2,363.85
  6. Step 6: Final answer
    x = 1,959.91

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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.