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Finding the Fourth Proportional to 2,685.33, 3,703.71 and 2,353.16

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Solution

The fourth proportional to 2,685.33, 3,703.71 and 2,353.16 is: 3,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.33 : 3,703.71 = 2,353.16 : x
  2. Step 2: Convert to fraction form
    2,685.33/3,703.71 = 2,353.16/x
  3. Step 3: Cross multiply
    2,685.33x = 3,703.71 × 2,353.16
  4. Step 4: Simplify right side
    2,685.33x = 8,715,422.22
  5. Step 5: Solve for x
    x = 8,715,422.22/2,685.33
  6. Step 6: Final answer
    x = 3,245.57

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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.