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Finding the Fourth Proportional to 2,996.67, 4,492.10 and 1,146.36

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Solution

The fourth proportional to 2,996.67, 4,492.10 and 1,146.36 is: 1,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.67 : 4,492.10 = 1,146.36 : x
  2. Step 2: Convert to fraction form
    2,996.67/4,492.10 = 1,146.36/x
  3. Step 3: Cross multiply
    2,996.67x = 4,492.10 × 1,146.36
  4. Step 4: Simplify right side
    2,996.67x = 5,149,566.62
  5. Step 5: Solve for x
    x = 5,149,566.62/2,996.67
  6. Step 6: Final answer
    x = 1,718.43

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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.