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Finding the Fourth Proportional to 3,266.53, 4,507.84 and 1,774.47

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Solution

The fourth proportional to 3,266.53, 4,507.84 and 1,774.47 is: 2,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.53 : 4,507.84 = 1,774.47 : x
  2. Step 2: Convert to fraction form
    3,266.53/4,507.84 = 1,774.47/x
  3. Step 3: Cross multiply
    3,266.53x = 4,507.84 × 1,774.47
  4. Step 4: Simplify right side
    3,266.53x = 7,999,042.64
  5. Step 5: Solve for x
    x = 7,999,042.64/3,266.53
  6. Step 6: Final answer
    x = 2,448.79

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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.