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Finding the Fourth Proportional to 2,916.80, 4,021.44 and 1,920.50

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Solution

The fourth proportional to 2,916.80, 4,021.44 and 1,920.50 is: 2,647.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,916.80 : 4,021.44 = 1,920.50 : x
  2. Step 2: Convert to fraction form
    2,916.80/4,021.44 = 1,920.50/x
  3. Step 3: Cross multiply
    2,916.80x = 4,021.44 × 1,920.50
  4. Step 4: Simplify right side
    2,916.80x = 7,723,175.52
  5. Step 5: Solve for x
    x = 7,723,175.52/2,916.80
  6. Step 6: Final answer
    x = 2,647.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.