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Finding the Fourth Proportional to 3,266.22, 4,507.35 and 1,774.14

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Solution

The fourth proportional to 3,266.22, 4,507.35 and 1,774.14 is: 2,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.22 : 4,507.35 = 1,774.14 : x
  2. Step 2: Convert to fraction form
    3,266.22/4,507.35 = 1,774.14/x
  3. Step 3: Cross multiply
    3,266.22x = 4,507.35 × 1,774.14
  4. Step 4: Simplify right side
    3,266.22x = 7,996,669.93
  5. Step 5: Solve for x
    x = 7,996,669.93/3,266.22
  6. Step 6: Final answer
    x = 2,448.29

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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.