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Finding the Fourth Proportional to 2,767.76, 4,152.41 and 1,380.72

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Solution

The fourth proportional to 2,767.76, 4,152.41 and 1,380.72 is: 2,071.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.76 : 4,152.41 = 1,380.72 : x
  2. Step 2: Convert to fraction form
    2,767.76/4,152.41 = 1,380.72/x
  3. Step 3: Cross multiply
    2,767.76x = 4,152.41 × 1,380.72
  4. Step 4: Simplify right side
    2,767.76x = 5,733,308.63
  5. Step 5: Solve for x
    x = 5,733,308.63/2,767.76
  6. Step 6: Final answer
    x = 2,071.47

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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.