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Finding the Fourth Proportional to 2,762.19, 4,142.70 and 813.96

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Solution

The fourth proportional to 2,762.19, 4,142.70 and 813.96 is: 1,220.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.19 : 4,142.70 = 813.96 : x
  2. Step 2: Convert to fraction form
    2,762.19/4,142.70 = 813.96/x
  3. Step 3: Cross multiply
    2,762.19x = 4,142.70 × 813.96
  4. Step 4: Simplify right side
    2,762.19x = 3,371,992.09
  5. Step 5: Solve for x
    x = 3,371,992.09/2,762.19
  6. Step 6: Final answer
    x = 1,220.77

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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.