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Finding the Fourth Proportional to 2,783.20, 4,174.72 and 703.27

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Solution

The fourth proportional to 2,783.20, 4,174.72 and 703.27 is: 1,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.20 : 4,174.72 = 703.27 : x
  2. Step 2: Convert to fraction form
    2,783.20/4,174.72 = 703.27/x
  3. Step 3: Cross multiply
    2,783.20x = 4,174.72 × 703.27
  4. Step 4: Simplify right side
    2,783.20x = 2,935,955.33
  5. Step 5: Solve for x
    x = 2,935,955.33/2,783.20
  6. Step 6: Final answer
    x = 1,054.88

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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.