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Finding the Fourth Proportional to 3,266.24, 4,899.84 and 1,704

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Solution

The fourth proportional to 3,266.24, 4,899.84 and 1,704 is: 2,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.24 : 4,899.84 = 1,704 : x
  2. Step 2: Convert to fraction form
    3,266.24/4,899.84 = 1,704/x
  3. Step 3: Cross multiply
    3,266.24x = 4,899.84 × 1,704
  4. Step 4: Simplify right side
    3,266.24x = 8,349,327.36
  5. Step 5: Solve for x
    x = 8,349,327.36/3,266.24
  6. Step 6: Final answer
    x = 2,556.25

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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.