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Finding the Fourth Proportional to 3,142.01, 4,709.77 and 1,411.85

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Solution

The fourth proportional to 3,142.01, 4,709.77 and 1,411.85 is: 2,116.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.01 : 4,709.77 = 1,411.85 : x
  2. Step 2: Convert to fraction form
    3,142.01/4,709.77 = 1,411.85/x
  3. Step 3: Cross multiply
    3,142.01x = 4,709.77 × 1,411.85
  4. Step 4: Simplify right side
    3,142.01x = 6,649,474.50
  5. Step 5: Solve for x
    x = 6,649,474.50/3,142.01
  6. Step 6: Final answer
    x = 2,116.31

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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.