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Finding the Fourth Proportional to 2,684.88, 3,706.45 and 2,403.99

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Solution

The fourth proportional to 2,684.88, 3,706.45 and 2,403.99 is: 3,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.88 : 3,706.45 = 2,403.99 : x
  2. Step 2: Convert to fraction form
    2,684.88/3,706.45 = 2,403.99/x
  3. Step 3: Cross multiply
    2,684.88x = 3,706.45 × 2,403.99
  4. Step 4: Simplify right side
    2,684.88x = 8,910,279.77
  5. Step 5: Solve for x
    x = 8,910,279.77/2,684.88
  6. Step 6: Final answer
    x = 3,318.68

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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.