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Finding the Fourth Proportional to 2,602.72, 3,591.82 and 1,555.38

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Solution

The fourth proportional to 2,602.72, 3,591.82 and 1,555.38 is: 2,146.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.72 : 3,591.82 = 1,555.38 : x
  2. Step 2: Convert to fraction form
    2,602.72/3,591.82 = 1,555.38/x
  3. Step 3: Cross multiply
    2,602.72x = 3,591.82 × 1,555.38
  4. Step 4: Simplify right side
    2,602.72x = 5,586,644.99
  5. Step 5: Solve for x
    x = 5,586,644.99/2,602.72
  6. Step 6: Final answer
    x = 2,146.46

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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.