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Finding the Fourth Proportional to 2,428.84, 3,640.04 and 2,119.92

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Solution

The fourth proportional to 2,428.84, 3,640.04 and 2,119.92 is: 3,177.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.84 : 3,640.04 = 2,119.92 : x
  2. Step 2: Convert to fraction form
    2,428.84/3,640.04 = 2,119.92/x
  3. Step 3: Cross multiply
    2,428.84x = 3,640.04 × 2,119.92
  4. Step 4: Simplify right side
    2,428.84x = 7,716,593.60
  5. Step 5: Solve for x
    x = 7,716,593.60/2,428.84
  6. Step 6: Final answer
    x = 3,177.07

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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.