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Finding the Fourth Proportional to 2,135.71, 3,205.01 and 749.03

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Solution

The fourth proportional to 2,135.71, 3,205.01 and 749.03 is: 1,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.71 : 3,205.01 = 749.03 : x
  2. Step 2: Convert to fraction form
    2,135.71/3,205.01 = 749.03/x
  3. Step 3: Cross multiply
    2,135.71x = 3,205.01 × 749.03
  4. Step 4: Simplify right side
    2,135.71x = 2,400,644.90
  5. Step 5: Solve for x
    x = 2,400,644.90/2,135.71
  6. Step 6: Final answer
    x = 1,124.05

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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.