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Finding the Fourth Proportional to 2,052.68, 3,074.91 and 955.52

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Solution

The fourth proportional to 2,052.68, 3,074.91 and 955.52 is: 1,431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,052.68 : 3,074.91 = 955.52 : x
  2. Step 2: Convert to fraction form
    2,052.68/3,074.91 = 955.52/x
  3. Step 3: Cross multiply
    2,052.68x = 3,074.91 × 955.52
  4. Step 4: Simplify right side
    2,052.68x = 2,938,138.00
  5. Step 5: Solve for x
    x = 2,938,138.00/2,052.68
  6. Step 6: Final answer
    x = 1,431.37

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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.