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Finding the Fourth Proportional to 2,564.89, 3,843.42 and 1,522.84

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Solution

The fourth proportional to 2,564.89, 3,843.42 and 1,522.84 is: 2,281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.89 : 3,843.42 = 1,522.84 : x
  2. Step 2: Convert to fraction form
    2,564.89/3,843.42 = 1,522.84/x
  3. Step 3: Cross multiply
    2,564.89x = 3,843.42 × 1,522.84
  4. Step 4: Simplify right side
    2,564.89x = 5,852,913.71
  5. Step 5: Solve for x
    x = 5,852,913.71/2,564.89
  6. Step 6: Final answer
    x = 2,281.94

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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.