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Finding the Fourth Proportional to 2,352.55, 3,528.25 and 966.28

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Solution

The fourth proportional to 2,352.55, 3,528.25 and 966.28 is: 1,449.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.55 : 3,528.25 = 966.28 : x
  2. Step 2: Convert to fraction form
    2,352.55/3,528.25 = 966.28/x
  3. Step 3: Cross multiply
    2,352.55x = 3,528.25 × 966.28
  4. Step 4: Simplify right side
    2,352.55x = 3,409,277.41
  5. Step 5: Solve for x
    x = 3,409,277.41/2,352.55
  6. Step 6: Final answer
    x = 1,449.18

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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.