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Finding the Fourth Proportional to 2,588.46, 3,576.26 and 1,806

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Solution

The fourth proportional to 2,588.46, 3,576.26 and 1,806 is: 2,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,588.46 : 3,576.26 = 1,806 : x
  2. Step 2: Convert to fraction form
    2,588.46/3,576.26 = 1,806/x
  3. Step 3: Cross multiply
    2,588.46x = 3,576.26 × 1,806
  4. Step 4: Simplify right side
    2,588.46x = 6,458,725.56
  5. Step 5: Solve for x
    x = 6,458,725.56/2,588.46
  6. Step 6: Final answer
    x = 2,495.20

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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.