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Finding the Fourth Proportional to 1,285.28, 1,928 and 1,219.68

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Solution

The fourth proportional to 1,285.28, 1,928 and 1,219.68 is: 1,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.28 : 1,928 = 1,219.68 : x
  2. Step 2: Convert to fraction form
    1,285.28/1,928 = 1,219.68/x
  3. Step 3: Cross multiply
    1,285.28x = 1,928 × 1,219.68
  4. Step 4: Simplify right side
    1,285.28x = 2,351,543.04
  5. Step 5: Solve for x
    x = 2,351,543.04/1,285.28
  6. Step 6: Final answer
    x = 1,829.60

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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.