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Finding the Fourth Proportional to 2,435.39, 3,358.63 and 2,082.63

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Solution

The fourth proportional to 2,435.39, 3,358.63 and 2,082.63 is: 2,872.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.39 : 3,358.63 = 2,082.63 : x
  2. Step 2: Convert to fraction form
    2,435.39/3,358.63 = 2,082.63/x
  3. Step 3: Cross multiply
    2,435.39x = 3,358.63 × 2,082.63
  4. Step 4: Simplify right side
    2,435.39x = 6,994,783.60
  5. Step 5: Solve for x
    x = 6,994,783.60/2,435.39
  6. Step 6: Final answer
    x = 2,872.14

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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.