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Finding the Fourth Proportional to 2,351.20, 3,527.72 and 965.20

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Solution

The fourth proportional to 2,351.20, 3,527.72 and 965.20 is: 1,448.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.20 : 3,527.72 = 965.20 : x
  2. Step 2: Convert to fraction form
    2,351.20/3,527.72 = 965.20/x
  3. Step 3: Cross multiply
    2,351.20x = 3,527.72 × 965.20
  4. Step 4: Simplify right side
    2,351.20x = 3,404,955.34
  5. Step 5: Solve for x
    x = 3,404,955.34/2,351.20
  6. Step 6: Final answer
    x = 1,448.18

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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.