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Finding the Fourth Proportional to 2,669.09, 4,003.64 and 721.45

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Solution

The fourth proportional to 2,669.09, 4,003.64 and 721.45 is: 1,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.09 : 4,003.64 = 721.45 : x
  2. Step 2: Convert to fraction form
    2,669.09/4,003.64 = 721.45/x
  3. Step 3: Cross multiply
    2,669.09x = 4,003.64 × 721.45
  4. Step 4: Simplify right side
    2,669.09x = 2,888,402.45
  5. Step 5: Solve for x
    x = 2,888,402.45/2,669.09
  6. Step 6: Final answer
    x = 1,082.17

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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.