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Finding the Fourth Proportional to 2,731.48, 4,096.14 and 1,763.80

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Solution

The fourth proportional to 2,731.48, 4,096.14 and 1,763.80 is: 2,645.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.48 : 4,096.14 = 1,763.80 : x
  2. Step 2: Convert to fraction form
    2,731.48/4,096.14 = 1,763.80/x
  3. Step 3: Cross multiply
    2,731.48x = 4,096.14 × 1,763.80
  4. Step 4: Simplify right side
    2,731.48x = 7,224,771.73
  5. Step 5: Solve for x
    x = 7,224,771.73/2,731.48
  6. Step 6: Final answer
    x = 2,645.00

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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.