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Finding the Fourth Proportional to 3,207.53, 4,802.60 and 1,665.29

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Solution

The fourth proportional to 3,207.53, 4,802.60 and 1,665.29 is: 2,493.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.53 : 4,802.60 = 1,665.29 : x
  2. Step 2: Convert to fraction form
    3,207.53/4,802.60 = 1,665.29/x
  3. Step 3: Cross multiply
    3,207.53x = 4,802.60 × 1,665.29
  4. Step 4: Simplify right side
    3,207.53x = 7,997,701.90
  5. Step 5: Solve for x
    x = 7,997,701.90/3,207.53
  6. Step 6: Final answer
    x = 2,493.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.