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Finding the Fourth Proportional to 1,747.89, 2,621.79 and 449.34

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Solution

The fourth proportional to 1,747.89, 2,621.79 and 449.34 is: 674.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.89 : 2,621.79 = 449.34 : x
  2. Step 2: Convert to fraction form
    1,747.89/2,621.79 = 449.34/x
  3. Step 3: Cross multiply
    1,747.89x = 2,621.79 × 449.34
  4. Step 4: Simplify right side
    1,747.89x = 1,178,075.12
  5. Step 5: Solve for x
    x = 1,178,075.12/1,747.89
  6. Step 6: Final answer
    x = 674.00

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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.