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Finding the Fourth Proportional to 2,997.16, 4,495.82 and 805.89

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Solution

The fourth proportional to 2,997.16, 4,495.82 and 805.89 is: 1,208.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.16 : 4,495.82 = 805.89 : x
  2. Step 2: Convert to fraction form
    2,997.16/4,495.82 = 805.89/x
  3. Step 3: Cross multiply
    2,997.16x = 4,495.82 × 805.89
  4. Step 4: Simplify right side
    2,997.16x = 3,623,123.83
  5. Step 5: Solve for x
    x = 3,623,123.83/2,997.16
  6. Step 6: Final answer
    x = 1,208.85

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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.