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Finding the Fourth Proportional to 2,406.28, 3,609.56 and 675.04

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Solution

The fourth proportional to 2,406.28, 3,609.56 and 675.04 is: 1,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.28 : 3,609.56 = 675.04 : x
  2. Step 2: Convert to fraction form
    2,406.28/3,609.56 = 675.04/x
  3. Step 3: Cross multiply
    2,406.28x = 3,609.56 × 675.04
  4. Step 4: Simplify right side
    2,406.28x = 2,436,597.38
  5. Step 5: Solve for x
    x = 2,436,597.38/2,406.28
  6. Step 6: Final answer
    x = 1,012.60

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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.