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Finding the Fourth Proportional to 2,522.33, 3,783.02 and 1,061.49

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Solution

The fourth proportional to 2,522.33, 3,783.02 and 1,061.49 is: 1,592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.33 : 3,783.02 = 1,061.49 : x
  2. Step 2: Convert to fraction form
    2,522.33/3,783.02 = 1,061.49/x
  3. Step 3: Cross multiply
    2,522.33x = 3,783.02 × 1,061.49
  4. Step 4: Simplify right side
    2,522.33x = 4,015,632.59
  5. Step 5: Solve for x
    x = 4,015,632.59/2,522.33
  6. Step 6: Final answer
    x = 1,592.04

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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.