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Finding the Fourth Proportional to 2,199.96, 3,300.75 and 901.53

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Solution

The fourth proportional to 2,199.96, 3,300.75 and 901.53 is: 1,352.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.96 : 3,300.75 = 901.53 : x
  2. Step 2: Convert to fraction form
    2,199.96/3,300.75 = 901.53/x
  3. Step 3: Cross multiply
    2,199.96x = 3,300.75 × 901.53
  4. Step 4: Simplify right side
    2,199.96x = 2,975,725.15
  5. Step 5: Solve for x
    x = 2,975,725.15/2,199.96
  6. Step 6: Final answer
    x = 1,352.63

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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.