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Finding the Fourth Proportional to 1,228.72, 1,841.46 and 902.56

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Solution

The fourth proportional to 1,228.72, 1,841.46 and 902.56 is: 1,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.72 : 1,841.46 = 902.56 : x
  2. Step 2: Convert to fraction form
    1,228.72/1,841.46 = 902.56/x
  3. Step 3: Cross multiply
    1,228.72x = 1,841.46 × 902.56
  4. Step 4: Simplify right side
    1,228.72x = 1,662,028.14
  5. Step 5: Solve for x
    x = 1,662,028.14/1,228.72
  6. Step 6: Final answer
    x = 1,352.65

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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.