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Finding the Fourth Proportional to 3,043.26, 4,564.53 and 852.16

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Solution

The fourth proportional to 3,043.26, 4,564.53 and 852.16 is: 1,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.26 : 4,564.53 = 852.16 : x
  2. Step 2: Convert to fraction form
    3,043.26/4,564.53 = 852.16/x
  3. Step 3: Cross multiply
    3,043.26x = 4,564.53 × 852.16
  4. Step 4: Simplify right side
    3,043.26x = 3,889,709.88
  5. Step 5: Solve for x
    x = 3,889,709.88/3,043.26
  6. Step 6: Final answer
    x = 1,278.14

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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.