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Finding the Fourth Proportional to 1,909.40, 2,861.40 and 1,411.93

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Solution

The fourth proportional to 1,909.40, 2,861.40 and 1,411.93 is: 2,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.40 : 2,861.40 = 1,411.93 : x
  2. Step 2: Convert to fraction form
    1,909.40/2,861.40 = 1,411.93/x
  3. Step 3: Cross multiply
    1,909.40x = 2,861.40 × 1,411.93
  4. Step 4: Simplify right side
    1,909.40x = 4,040,096.50
  5. Step 5: Solve for x
    x = 4,040,096.50/1,909.40
  6. Step 6: Final answer
    x = 2,115.90

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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.