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Finding the Fourth Proportional to 2,363.34, 3,262.08 and 1,419.44

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Solution

The fourth proportional to 2,363.34, 3,262.08 and 1,419.44 is: 1,959.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.34 : 3,262.08 = 1,419.44 : x
  2. Step 2: Convert to fraction form
    2,363.34/3,262.08 = 1,419.44/x
  3. Step 3: Cross multiply
    2,363.34x = 3,262.08 × 1,419.44
  4. Step 4: Simplify right side
    2,363.34x = 4,630,315.85
  5. Step 5: Solve for x
    x = 4,630,315.85/2,363.34
  6. Step 6: Final answer
    x = 1,959.22

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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.