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Finding the Fourth Proportional to 3,156.50, 4,734.43 and 1,401.55

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Solution

The fourth proportional to 3,156.50, 4,734.43 and 1,401.55 is: 2,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.50 : 4,734.43 = 1,401.55 : x
  2. Step 2: Convert to fraction form
    3,156.50/4,734.43 = 1,401.55/x
  3. Step 3: Cross multiply
    3,156.50x = 4,734.43 × 1,401.55
  4. Step 4: Simplify right side
    3,156.50x = 6,635,525.03
  5. Step 5: Solve for x
    x = 6,635,525.03/3,156.50
  6. Step 6: Final answer
    x = 2,102.18

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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.