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Finding the Fourth Proportional to 2,352.64, 3,530.32 and 2,171.28

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Solution

The fourth proportional to 2,352.64, 3,530.32 and 2,171.28 is: 3,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.64 : 3,530.32 = 2,171.28 : x
  2. Step 2: Convert to fraction form
    2,352.64/3,530.32 = 2,171.28/x
  3. Step 3: Cross multiply
    2,352.64x = 3,530.32 × 2,171.28
  4. Step 4: Simplify right side
    2,352.64x = 7,665,313.21
  5. Step 5: Solve for x
    x = 7,665,313.21/2,352.64
  6. Step 6: Final answer
    x = 3,258.18

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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.