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Finding the Fourth Proportional to 3,266.43, 4,507.70 and 1,774.36

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Solution

The fourth proportional to 3,266.43, 4,507.70 and 1,774.36 is: 2,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.43 : 4,507.70 = 1,774.36 : x
  2. Step 2: Convert to fraction form
    3,266.43/4,507.70 = 1,774.36/x
  3. Step 3: Cross multiply
    3,266.43x = 4,507.70 × 1,774.36
  4. Step 4: Simplify right side
    3,266.43x = 7,998,263.96
  5. Step 5: Solve for x
    x = 7,998,263.96/3,266.43
  6. Step 6: Final answer
    x = 2,448.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.