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Finding the Fourth Proportional to 2,770.56, 3,823.36 and 1,528.56

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Solution

The fourth proportional to 2,770.56, 3,823.36 and 1,528.56 is: 2,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770.56 : 3,823.36 = 1,528.56 : x
  2. Step 2: Convert to fraction form
    2,770.56/3,823.36 = 1,528.56/x
  3. Step 3: Cross multiply
    2,770.56x = 3,823.36 × 1,528.56
  4. Step 4: Simplify right side
    2,770.56x = 5,844,235.16
  5. Step 5: Solve for x
    x = 5,844,235.16/2,770.56
  6. Step 6: Final answer
    x = 2,109.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.