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Finding the Fourth Proportional to 2,784.44, 4,176.68 and 704.45

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Solution

The fourth proportional to 2,784.44, 4,176.68 and 704.45 is: 1,056.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.44 : 4,176.68 = 704.45 : x
  2. Step 2: Convert to fraction form
    2,784.44/4,176.68 = 704.45/x
  3. Step 3: Cross multiply
    2,784.44x = 4,176.68 × 704.45
  4. Step 4: Simplify right side
    2,784.44x = 2,942,269.15
  5. Step 5: Solve for x
    x = 2,942,269.15/2,784.44
  6. Step 6: Final answer
    x = 1,056.68

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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.