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Finding the Fourth Proportional to 3,206.88, 4,810.50 and 898.56

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Solution

The fourth proportional to 3,206.88, 4,810.50 and 898.56 is: 1,347.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.88 : 4,810.50 = 898.56 : x
  2. Step 2: Convert to fraction form
    3,206.88/4,810.50 = 898.56/x
  3. Step 3: Cross multiply
    3,206.88x = 4,810.50 × 898.56
  4. Step 4: Simplify right side
    3,206.88x = 4,322,494.33
  5. Step 5: Solve for x
    x = 4,322,494.33/3,206.88
  6. Step 6: Final answer
    x = 1,347.88

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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.