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Finding the Fourth Proportional to 2,991.89, 4,488.06 and 912.07

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Solution

The fourth proportional to 2,991.89, 4,488.06 and 912.07 is: 1,368.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,991.89 : 4,488.06 = 912.07 : x
  2. Step 2: Convert to fraction form
    2,991.89/4,488.06 = 912.07/x
  3. Step 3: Cross multiply
    2,991.89x = 4,488.06 × 912.07
  4. Step 4: Simplify right side
    2,991.89x = 4,093,424.88
  5. Step 5: Solve for x
    x = 4,093,424.88/2,991.89
  6. Step 6: Final answer
    x = 1,368.17

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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.