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Finding the Fourth Proportional to 2,328.43, 3,492.42 and 768.41

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Solution

The fourth proportional to 2,328.43, 3,492.42 and 768.41 is: 1,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.43 : 3,492.42 = 768.41 : x
  2. Step 2: Convert to fraction form
    2,328.43/3,492.42 = 768.41/x
  3. Step 3: Cross multiply
    2,328.43x = 3,492.42 × 768.41
  4. Step 4: Simplify right side
    2,328.43x = 2,683,610.45
  5. Step 5: Solve for x
    x = 2,683,610.45/2,328.43
  6. Step 6: Final answer
    x = 1,152.54

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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.