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Finding the Fourth Proportional to 2,902.08, 4,354.20 and 1,362

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Solution

The fourth proportional to 2,902.08, 4,354.20 and 1,362 is: 2,043.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.08 : 4,354.20 = 1,362 : x
  2. Step 2: Convert to fraction form
    2,902.08/4,354.20 = 1,362/x
  3. Step 3: Cross multiply
    2,902.08x = 4,354.20 × 1,362
  4. Step 4: Simplify right side
    2,902.08x = 5,930,420.40
  5. Step 5: Solve for x
    x = 5,930,420.40/2,902.08
  6. Step 6: Final answer
    x = 2,043.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.