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Finding the Fourth Proportional to 2,172.32, 3,258.75 and 711.08

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Solution

The fourth proportional to 2,172.32, 3,258.75 and 711.08 is: 1,066.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172.32 : 3,258.75 = 711.08 : x
  2. Step 2: Convert to fraction form
    2,172.32/3,258.75 = 711.08/x
  3. Step 3: Cross multiply
    2,172.32x = 3,258.75 × 711.08
  4. Step 4: Simplify right side
    2,172.32x = 2,317,231.95
  5. Step 5: Solve for x
    x = 2,317,231.95/2,172.32
  6. Step 6: Final answer
    x = 1,066.71

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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.