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Finding the Fourth Proportional to 2,406.91, 3,610.54 and 763.57

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Solution

The fourth proportional to 2,406.91, 3,610.54 and 763.57 is: 1,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.91 : 3,610.54 = 763.57 : x
  2. Step 2: Convert to fraction form
    2,406.91/3,610.54 = 763.57/x
  3. Step 3: Cross multiply
    2,406.91x = 3,610.54 × 763.57
  4. Step 4: Simplify right side
    2,406.91x = 2,756,900.03
  5. Step 5: Solve for x
    x = 2,756,900.03/2,406.91
  6. Step 6: Final answer
    x = 1,145.41

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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.