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Finding the Fourth Proportional to 2,759.76, 4,117.04 and 2,684.43

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Solution

The fourth proportional to 2,759.76, 4,117.04 and 2,684.43 is: 4,004.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.76 : 4,117.04 = 2,684.43 : x
  2. Step 2: Convert to fraction form
    2,759.76/4,117.04 = 2,684.43/x
  3. Step 3: Cross multiply
    2,759.76x = 4,117.04 × 2,684.43
  4. Step 4: Simplify right side
    2,759.76x = 11,051,892.27
  5. Step 5: Solve for x
    x = 11,051,892.27/2,759.76
  6. Step 6: Final answer
    x = 4,004.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.