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Finding the Fourth Proportional to 1,780.54, 2,680.69 and 1,392.64

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Solution

The fourth proportional to 1,780.54, 2,680.69 and 1,392.64 is: 2,096.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780.54 : 2,680.69 = 1,392.64 : x
  2. Step 2: Convert to fraction form
    1,780.54/2,680.69 = 1,392.64/x
  3. Step 3: Cross multiply
    1,780.54x = 2,680.69 × 1,392.64
  4. Step 4: Simplify right side
    1,780.54x = 3,733,236.12
  5. Step 5: Solve for x
    x = 3,733,236.12/1,780.54
  6. Step 6: Final answer
    x = 2,096.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.