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Finding the Fourth Proportional to 3,201.72, 4,802.23 and 1,010.46

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Solution

The fourth proportional to 3,201.72, 4,802.23 and 1,010.46 is: 1,515.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.72 : 4,802.23 = 1,010.46 : x
  2. Step 2: Convert to fraction form
    3,201.72/4,802.23 = 1,010.46/x
  3. Step 3: Cross multiply
    3,201.72x = 4,802.23 × 1,010.46
  4. Step 4: Simplify right side
    3,201.72x = 4,852,461.33
  5. Step 5: Solve for x
    x = 4,852,461.33/3,201.72
  6. Step 6: Final answer
    x = 1,515.58

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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.