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Finding the Fourth Proportional to 3,201.53, 4,802.90 and 1,010.88

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Solution

The fourth proportional to 3,201.53, 4,802.90 and 1,010.88 is: 1,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.53 : 4,802.90 = 1,010.88 : x
  2. Step 2: Convert to fraction form
    3,201.53/4,802.90 = 1,010.88/x
  3. Step 3: Cross multiply
    3,201.53x = 4,802.90 × 1,010.88
  4. Step 4: Simplify right side
    3,201.53x = 4,855,150.50
  5. Step 5: Solve for x
    x = 4,855,150.50/3,201.53
  6. Step 6: Final answer
    x = 1,516.51

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Why These Related Problems?

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