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Finding the Fourth Proportional to 2,722.74, 4,082.25 and 1,748.31

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Solution

The fourth proportional to 2,722.74, 4,082.25 and 1,748.31 is: 2,621.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.74 : 4,082.25 = 1,748.31 : x
  2. Step 2: Convert to fraction form
    2,722.74/4,082.25 = 1,748.31/x
  3. Step 3: Cross multiply
    2,722.74x = 4,082.25 × 1,748.31
  4. Step 4: Simplify right side
    2,722.74x = 7,137,038.50
  5. Step 5: Solve for x
    x = 7,137,038.50/2,722.74
  6. Step 6: Final answer
    x = 2,621.27

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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.