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Finding the Fourth Proportional to 3,107.55, 4,287.44 and 1,781.03

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Solution

The fourth proportional to 3,107.55, 4,287.44 and 1,781.03 is: 2,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.55 : 4,287.44 = 1,781.03 : x
  2. Step 2: Convert to fraction form
    3,107.55/4,287.44 = 1,781.03/x
  3. Step 3: Cross multiply
    3,107.55x = 4,287.44 × 1,781.03
  4. Step 4: Simplify right side
    3,107.55x = 7,636,028.92
  5. Step 5: Solve for x
    x = 7,636,028.92/3,107.55
  6. Step 6: Final answer
    x = 2,457.25

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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.