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Finding the Fourth Proportional to 4,274.30, 6,410.90 and 1,352.90

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Solution

The fourth proportional to 4,274.30, 6,410.90 and 1,352.90 is: 2,029.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.30 : 6,410.90 = 1,352.90 : x
  2. Step 2: Convert to fraction form
    4,274.30/6,410.90 = 1,352.90/x
  3. Step 3: Cross multiply
    4,274.30x = 6,410.90 × 1,352.90
  4. Step 4: Simplify right side
    4,274.30x = 8,673,306.61
  5. Step 5: Solve for x
    x = 8,673,306.61/4,274.30
  6. Step 6: Final answer
    x = 2,029.18

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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.