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Finding the Fourth Proportional to 2,328.50, 3,213.60 and 1,397

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Solution

The fourth proportional to 2,328.50, 3,213.60 and 1,397 is: 1,928.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.50 : 3,213.60 = 1,397 : x
  2. Step 2: Convert to fraction form
    2,328.50/3,213.60 = 1,397/x
  3. Step 3: Cross multiply
    2,328.50x = 3,213.60 × 1,397
  4. Step 4: Simplify right side
    2,328.50x = 4,489,399.20
  5. Step 5: Solve for x
    x = 4,489,399.20/2,328.50
  6. Step 6: Final answer
    x = 1,928.02

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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.