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Finding the Fourth Proportional to 1,429.21, 2,144.46 and 909.07

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Solution

The fourth proportional to 1,429.21, 2,144.46 and 909.07 is: 1,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.21 : 2,144.46 = 909.07 : x
  2. Step 2: Convert to fraction form
    1,429.21/2,144.46 = 909.07/x
  3. Step 3: Cross multiply
    1,429.21x = 2,144.46 × 909.07
  4. Step 4: Simplify right side
    1,429.21x = 1,949,469.25
  5. Step 5: Solve for x
    x = 1,949,469.25/1,429.21
  6. Step 6: Final answer
    x = 1,364.02

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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.