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Finding the Fourth Proportional to 2,521.99, 3,782.40 and 962.17

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Solution

The fourth proportional to 2,521.99, 3,782.40 and 962.17 is: 1,443.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.99 : 3,782.40 = 962.17 : x
  2. Step 2: Convert to fraction form
    2,521.99/3,782.40 = 962.17/x
  3. Step 3: Cross multiply
    2,521.99x = 3,782.40 × 962.17
  4. Step 4: Simplify right side
    2,521.99x = 3,639,311.81
  5. Step 5: Solve for x
    x = 3,639,311.81/2,521.99
  6. Step 6: Final answer
    x = 1,443.03

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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.