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Finding the Fourth Proportional to 2,909.75, 4,361.45 and 1,429.99

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Solution

The fourth proportional to 2,909.75, 4,361.45 and 1,429.99 is: 2,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.75 : 4,361.45 = 1,429.99 : x
  2. Step 2: Convert to fraction form
    2,909.75/4,361.45 = 1,429.99/x
  3. Step 3: Cross multiply
    2,909.75x = 4,361.45 × 1,429.99
  4. Step 4: Simplify right side
    2,909.75x = 6,236,811.83
  5. Step 5: Solve for x
    x = 6,236,811.83/2,909.75
  6. Step 6: Final answer
    x = 2,143.42

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