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Finding the Fourth Proportional to 2,352.36, 3,530.21 and 966.96

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Solution

The fourth proportional to 2,352.36, 3,530.21 and 966.96 is: 1,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.36 : 3,530.21 = 966.96 : x
  2. Step 2: Convert to fraction form
    2,352.36/3,530.21 = 966.96/x
  3. Step 3: Cross multiply
    2,352.36x = 3,530.21 × 966.96
  4. Step 4: Simplify right side
    2,352.36x = 3,413,549.38
  5. Step 5: Solve for x
    x = 3,413,549.38/2,352.36
  6. Step 6: Final answer
    x = 1,451.12

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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.