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Finding the Fourth Proportional to 2,735.38, 4,102.17 and 2,328.94

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Solution

The fourth proportional to 2,735.38, 4,102.17 and 2,328.94 is: 3,492.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.38 : 4,102.17 = 2,328.94 : x
  2. Step 2: Convert to fraction form
    2,735.38/4,102.17 = 2,328.94/x
  3. Step 3: Cross multiply
    2,735.38x = 4,102.17 × 2,328.94
  4. Step 4: Simplify right side
    2,735.38x = 9,553,707.80
  5. Step 5: Solve for x
    x = 9,553,707.80/2,735.38
  6. Step 6: Final answer
    x = 3,492.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.