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Finding the Fourth Proportional to 2,996.77, 4,495.98 and 916.73

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Solution

The fourth proportional to 2,996.77, 4,495.98 and 916.73 is: 1,375.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.77 : 4,495.98 = 916.73 : x
  2. Step 2: Convert to fraction form
    2,996.77/4,495.98 = 916.73/x
  3. Step 3: Cross multiply
    2,996.77x = 4,495.98 × 916.73
  4. Step 4: Simplify right side
    2,996.77x = 4,121,601.93
  5. Step 5: Solve for x
    x = 4,121,601.93/2,996.77
  6. Step 6: Final answer
    x = 1,375.35

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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.