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Finding the Fourth Proportional to 2,406.40, 3,276.16 and 2,384.80

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Solution

The fourth proportional to 2,406.40, 3,276.16 and 2,384.80 is: 3,246.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.40 : 3,276.16 = 2,384.80 : x
  2. Step 2: Convert to fraction form
    2,406.40/3,276.16 = 2,384.80/x
  3. Step 3: Cross multiply
    2,406.40x = 3,276.16 × 2,384.80
  4. Step 4: Simplify right side
    2,406.40x = 7,812,986.37
  5. Step 5: Solve for x
    x = 7,812,986.37/2,406.40
  6. Step 6: Final answer
    x = 3,246.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.