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Finding the Fourth Proportional to 2,435.54, 3,358.80 and 2,082.78

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Solution

The fourth proportional to 2,435.54, 3,358.80 and 2,082.78 is: 2,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.54 : 3,358.80 = 2,082.78 : x
  2. Step 2: Convert to fraction form
    2,435.54/3,358.80 = 2,082.78/x
  3. Step 3: Cross multiply
    2,435.54x = 3,358.80 × 2,082.78
  4. Step 4: Simplify right side
    2,435.54x = 6,995,641.46
  5. Step 5: Solve for x
    x = 6,995,641.46/2,435.54
  6. Step 6: Final answer
    x = 2,872.32

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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.