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Finding the Fourth Proportional to 2,406.69, 3,610.08 and 1,090.17

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Solution

The fourth proportional to 2,406.69, 3,610.08 and 1,090.17 is: 1,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.69 : 3,610.08 = 1,090.17 : x
  2. Step 2: Convert to fraction form
    2,406.69/3,610.08 = 1,090.17/x
  3. Step 3: Cross multiply
    2,406.69x = 3,610.08 × 1,090.17
  4. Step 4: Simplify right side
    2,406.69x = 3,935,600.91
  5. Step 5: Solve for x
    x = 3,935,600.91/2,406.69
  6. Step 6: Final answer
    x = 1,635.28

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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.