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Finding the Fourth Proportional to 2,682.59, 3,703.68 and 2,186.40

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Solution

The fourth proportional to 2,682.59, 3,703.68 and 2,186.40 is: 3,018.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.59 : 3,703.68 = 2,186.40 : x
  2. Step 2: Convert to fraction form
    2,682.59/3,703.68 = 2,186.40/x
  3. Step 3: Cross multiply
    2,682.59x = 3,703.68 × 2,186.40
  4. Step 4: Simplify right side
    2,682.59x = 8,097,739.84
  5. Step 5: Solve for x
    x = 8,097,739.84/2,682.59
  6. Step 6: Final answer
    x = 3,018.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.