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Finding the Fourth Proportional to 3,255.28, 4,884.20 and 1,430

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Solution

The fourth proportional to 3,255.28, 4,884.20 and 1,430 is: 2,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.28 : 4,884.20 = 1,430 : x
  2. Step 2: Convert to fraction form
    3,255.28/4,884.20 = 1,430/x
  3. Step 3: Cross multiply
    3,255.28x = 4,884.20 × 1,430
  4. Step 4: Simplify right side
    3,255.28x = 6,984,406
  5. Step 5: Solve for x
    x = 6,984,406/3,255.28
  6. Step 6: Final answer
    x = 2,145.56

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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.