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Finding the Fourth Proportional to 2,599, 3,586.68 and 1,604.96

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Solution

The fourth proportional to 2,599, 3,586.68 and 1,604.96 is: 2,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599 : 3,586.68 = 1,604.96 : x
  2. Step 2: Convert to fraction form
    2,599/3,586.68 = 1,604.96/x
  3. Step 3: Cross multiply
    2,599x = 3,586.68 × 1,604.96
  4. Step 4: Simplify right side
    2,599x = 5,756,477.93
  5. Step 5: Solve for x
    x = 5,756,477.93/2,599
  6. Step 6: Final answer
    x = 2,214.88

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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.