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Finding the Fourth Proportional to 2,693.40, 3,715.98 and 1,684.44

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Solution

The fourth proportional to 2,693.40, 3,715.98 and 1,684.44 is: 2,323.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.40 : 3,715.98 = 1,684.44 : x
  2. Step 2: Convert to fraction form
    2,693.40/3,715.98 = 1,684.44/x
  3. Step 3: Cross multiply
    2,693.40x = 3,715.98 × 1,684.44
  4. Step 4: Simplify right side
    2,693.40x = 6,259,339.03
  5. Step 5: Solve for x
    x = 6,259,339.03/2,693.40
  6. Step 6: Final answer
    x = 2,323.96

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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.