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Finding the Fourth Proportional to 2,763.90, 3,812.34 and 1,715.88

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Solution

The fourth proportional to 2,763.90, 3,812.34 and 1,715.88 is: 2,366.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.90 : 3,812.34 = 1,715.88 : x
  2. Step 2: Convert to fraction form
    2,763.90/3,812.34 = 1,715.88/x
  3. Step 3: Cross multiply
    2,763.90x = 3,812.34 × 1,715.88
  4. Step 4: Simplify right side
    2,763.90x = 6,541,517.96
  5. Step 5: Solve for x
    x = 6,541,517.96/2,763.90
  6. Step 6: Final answer
    x = 2,366.77

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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.