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Finding the Fourth Proportional to 2,512.84, 3,770.46 and 1,538.40

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Solution

The fourth proportional to 2,512.84, 3,770.46 and 1,538.40 is: 2,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.84 : 3,770.46 = 1,538.40 : x
  2. Step 2: Convert to fraction form
    2,512.84/3,770.46 = 1,538.40/x
  3. Step 3: Cross multiply
    2,512.84x = 3,770.46 × 1,538.40
  4. Step 4: Simplify right side
    2,512.84x = 5,800,475.66
  5. Step 5: Solve for x
    x = 5,800,475.66/2,512.84
  6. Step 6: Final answer
    x = 2,308.33

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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.