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Finding the Fourth Proportional to 2,763.41, 4,145.56 and 815.81

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Solution

The fourth proportional to 2,763.41, 4,145.56 and 815.81 is: 1,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.41 : 4,145.56 = 815.81 : x
  2. Step 2: Convert to fraction form
    2,763.41/4,145.56 = 815.81/x
  3. Step 3: Cross multiply
    2,763.41x = 4,145.56 × 815.81
  4. Step 4: Simplify right side
    2,763.41x = 3,381,966.54
  5. Step 5: Solve for x
    x = 3,381,966.54/2,763.41
  6. Step 6: Final answer
    x = 1,223.84

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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.