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Finding the Fourth Proportional to 2,489.45, 3,435.53 and 1,427.38

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Solution

The fourth proportional to 2,489.45, 3,435.53 and 1,427.38 is: 1,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.45 : 3,435.53 = 1,427.38 : x
  2. Step 2: Convert to fraction form
    2,489.45/3,435.53 = 1,427.38/x
  3. Step 3: Cross multiply
    2,489.45x = 3,435.53 × 1,427.38
  4. Step 4: Simplify right side
    2,489.45x = 4,903,806.81
  5. Step 5: Solve for x
    x = 4,903,806.81/2,489.45
  6. Step 6: Final answer
    x = 1,969.84

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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.