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Finding the Fourth Proportional to 1,224.60, 1,836.98 and 1,020.62

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Solution

The fourth proportional to 1,224.60, 1,836.98 and 1,020.62 is: 1,530.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.60 : 1,836.98 = 1,020.62 : x
  2. Step 2: Convert to fraction form
    1,224.60/1,836.98 = 1,020.62/x
  3. Step 3: Cross multiply
    1,224.60x = 1,836.98 × 1,020.62
  4. Step 4: Simplify right side
    1,224.60x = 1,874,844.24
  5. Step 5: Solve for x
    x = 1,874,844.24/1,224.60
  6. Step 6: Final answer
    x = 1,530.99

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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.