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Finding the Fourth Proportional to 2,996.44, 4,495.39 and 916.48

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Solution

The fourth proportional to 2,996.44, 4,495.39 and 916.48 is: 1,374.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.44 : 4,495.39 = 916.48 : x
  2. Step 2: Convert to fraction form
    2,996.44/4,495.39 = 916.48/x
  3. Step 3: Cross multiply
    2,996.44x = 4,495.39 × 916.48
  4. Step 4: Simplify right side
    2,996.44x = 4,119,935.03
  5. Step 5: Solve for x
    x = 4,119,935.03/2,996.44
  6. Step 6: Final answer
    x = 1,374.94

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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.