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Finding the Fourth Proportional to 2,606, 3,595.92 and 1,529.28

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Solution

The fourth proportional to 2,606, 3,595.92 and 1,529.28 is: 2,110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606 : 3,595.92 = 1,529.28 : x
  2. Step 2: Convert to fraction form
    2,606/3,595.92 = 1,529.28/x
  3. Step 3: Cross multiply
    2,606x = 3,595.92 × 1,529.28
  4. Step 4: Simplify right side
    2,606x = 5,499,168.54
  5. Step 5: Solve for x
    x = 5,499,168.54/2,606
  6. Step 6: Final answer
    x = 2,110.20

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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.