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Finding the Fourth Proportional to 2,703.90, 4,028.97 and 2,409.14

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Solution

The fourth proportional to 2,703.90, 4,028.97 and 2,409.14 is: 3,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703.90 : 4,028.97 = 2,409.14 : x
  2. Step 2: Convert to fraction form
    2,703.90/4,028.97 = 2,409.14/x
  3. Step 3: Cross multiply
    2,703.90x = 4,028.97 × 2,409.14
  4. Step 4: Simplify right side
    2,703.90x = 9,706,332.64
  5. Step 5: Solve for x
    x = 9,706,332.64/2,703.90
  6. Step 6: Final answer
    x = 3,589.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.