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Finding the Fourth Proportional to 2,962.42, 4,443.64 and 883.17

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Solution

The fourth proportional to 2,962.42, 4,443.64 and 883.17 is: 1,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962.42 : 4,443.64 = 883.17 : x
  2. Step 2: Convert to fraction form
    2,962.42/4,443.64 = 883.17/x
  3. Step 3: Cross multiply
    2,962.42x = 4,443.64 × 883.17
  4. Step 4: Simplify right side
    2,962.42x = 3,924,492.30
  5. Step 5: Solve for x
    x = 3,924,492.30/2,962.42
  6. Step 6: Final answer
    x = 1,324.76

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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.