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Finding the Fourth Proportional to 2,576.76, 3,555 and 1,528.80

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Solution

The fourth proportional to 2,576.76, 3,555 and 1,528.80 is: 2,109.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.76 : 3,555 = 1,528.80 : x
  2. Step 2: Convert to fraction form
    2,576.76/3,555 = 1,528.80/x
  3. Step 3: Cross multiply
    2,576.76x = 3,555 × 1,528.80
  4. Step 4: Simplify right side
    2,576.76x = 5,434,884
  5. Step 5: Solve for x
    x = 5,434,884/2,576.76
  6. Step 6: Final answer
    x = 2,109.19

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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.