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Finding the Fourth Proportional to 1,435.40, 1,979.43 and 1,082.18

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Solution

The fourth proportional to 1,435.40, 1,979.43 and 1,082.18 is: 1,492.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.40 : 1,979.43 = 1,082.18 : x
  2. Step 2: Convert to fraction form
    1,435.40/1,979.43 = 1,082.18/x
  3. Step 3: Cross multiply
    1,435.40x = 1,979.43 × 1,082.18
  4. Step 4: Simplify right side
    1,435.40x = 2,142,099.56
  5. Step 5: Solve for x
    x = 2,142,099.56/1,435.40
  6. Step 6: Final answer
    x = 1,492.34

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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.