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Finding the Fourth Proportional to 2,428.40, 3,350.16 and 1,433.60

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Solution

The fourth proportional to 2,428.40, 3,350.16 and 1,433.60 is: 1,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.40 : 3,350.16 = 1,433.60 : x
  2. Step 2: Convert to fraction form
    2,428.40/3,350.16 = 1,433.60/x
  3. Step 3: Cross multiply
    2,428.40x = 3,350.16 × 1,433.60
  4. Step 4: Simplify right side
    2,428.40x = 4,802,789.38
  5. Step 5: Solve for x
    x = 4,802,789.38/2,428.40
  6. Step 6: Final answer
    x = 1,977.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.