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Finding the Fourth Proportional to 3,203.04, 4,419.68 and 1,805.60

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Solution

The fourth proportional to 3,203.04, 4,419.68 and 1,805.60 is: 2,491.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.04 : 4,419.68 = 1,805.60 : x
  2. Step 2: Convert to fraction form
    3,203.04/4,419.68 = 1,805.60/x
  3. Step 3: Cross multiply
    3,203.04x = 4,419.68 × 1,805.60
  4. Step 4: Simplify right side
    3,203.04x = 7,980,174.21
  5. Step 5: Solve for x
    x = 7,980,174.21/3,203.04
  6. Step 6: Final answer
    x = 2,491.44

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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.