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Finding the Fourth Proportional to 2,947.56, 4,421.31 and 756.28

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Solution

The fourth proportional to 2,947.56, 4,421.31 and 756.28 is: 1,134.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.56 : 4,421.31 = 756.28 : x
  2. Step 2: Convert to fraction form
    2,947.56/4,421.31 = 756.28/x
  3. Step 3: Cross multiply
    2,947.56x = 4,421.31 × 756.28
  4. Step 4: Simplify right side
    2,947.56x = 3,343,748.33
  5. Step 5: Solve for x
    x = 3,343,748.33/2,947.56
  6. Step 6: Final answer
    x = 1,134.41

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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.