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Finding the Fourth Proportional to 3,201.84, 4,803.53 and 1,010.57

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Solution

The fourth proportional to 3,201.84, 4,803.53 and 1,010.57 is: 1,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.84 : 4,803.53 = 1,010.57 : x
  2. Step 2: Convert to fraction form
    3,201.84/4,803.53 = 1,010.57/x
  3. Step 3: Cross multiply
    3,201.84x = 4,803.53 × 1,010.57
  4. Step 4: Simplify right side
    3,201.84x = 4,854,274.24
  5. Step 5: Solve for x
    x = 4,854,274.24/3,201.84
  6. Step 6: Final answer
    x = 1,516.09

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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.