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Finding the Fourth Proportional to 2,784.70, 4,176.90 and 704.56

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Solution

The fourth proportional to 2,784.70, 4,176.90 and 704.56 is: 1,056.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.70 : 4,176.90 = 704.56 : x
  2. Step 2: Convert to fraction form
    2,784.70/4,176.90 = 704.56/x
  3. Step 3: Cross multiply
    2,784.70x = 4,176.90 × 704.56
  4. Step 4: Simplify right side
    2,784.70x = 2,942,876.66
  5. Step 5: Solve for x
    x = 2,942,876.66/2,784.70
  6. Step 6: Final answer
    x = 1,056.80

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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.