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Finding the Fourth Proportional to 2,686.39, 3,705.34 and 2,596.08

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Solution

The fourth proportional to 2,686.39, 3,705.34 and 2,596.08 is: 3,580.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.39 : 3,705.34 = 2,596.08 : x
  2. Step 2: Convert to fraction form
    2,686.39/3,705.34 = 2,596.08/x
  3. Step 3: Cross multiply
    2,686.39x = 3,705.34 × 2,596.08
  4. Step 4: Simplify right side
    2,686.39x = 9,619,359.07
  5. Step 5: Solve for x
    x = 9,619,359.07/2,686.39
  6. Step 6: Final answer
    x = 3,580.78

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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.