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Finding the Fourth Proportional to 1,224.43, 1,827.68 and 1,052.20

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Solution

The fourth proportional to 1,224.43, 1,827.68 and 1,052.20 is: 1,570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.43 : 1,827.68 = 1,052.20 : x
  2. Step 2: Convert to fraction form
    1,224.43/1,827.68 = 1,052.20/x
  3. Step 3: Cross multiply
    1,224.43x = 1,827.68 × 1,052.20
  4. Step 4: Simplify right side
    1,224.43x = 1,923,084.90
  5. Step 5: Solve for x
    x = 1,923,084.90/1,224.43
  6. Step 6: Final answer
    x = 1,570.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.