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Finding the Fourth Proportional to 2,767.46, 4,152.53 and 1,380.99

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Solution

The fourth proportional to 2,767.46, 4,152.53 and 1,380.99 is: 2,072.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.46 : 4,152.53 = 1,380.99 : x
  2. Step 2: Convert to fraction form
    2,767.46/4,152.53 = 1,380.99/x
  3. Step 3: Cross multiply
    2,767.46x = 4,152.53 × 1,380.99
  4. Step 4: Simplify right side
    2,767.46x = 5,734,602.40
  5. Step 5: Solve for x
    x = 5,734,602.40/2,767.46
  6. Step 6: Final answer
    x = 2,072.15

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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.