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Finding the Fourth Proportional to 2,406.02, 3,609.21 and 762.71

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Solution

The fourth proportional to 2,406.02, 3,609.21 and 762.71 is: 1,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.02 : 3,609.21 = 762.71 : x
  2. Step 2: Convert to fraction form
    2,406.02/3,609.21 = 762.71/x
  3. Step 3: Cross multiply
    2,406.02x = 3,609.21 × 762.71
  4. Step 4: Simplify right side
    2,406.02x = 2,752,762.51
  5. Step 5: Solve for x
    x = 2,752,762.51/2,406.02
  6. Step 6: Final answer
    x = 1,144.12

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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.