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Finding the Fourth Proportional to 1,429.72, 2,141.56 and 909.44

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Solution

The fourth proportional to 1,429.72, 2,141.56 and 909.44 is: 1,362.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.72 : 2,141.56 = 909.44 : x
  2. Step 2: Convert to fraction form
    1,429.72/2,141.56 = 909.44/x
  3. Step 3: Cross multiply
    1,429.72x = 2,141.56 × 909.44
  4. Step 4: Simplify right side
    1,429.72x = 1,947,620.33
  5. Step 5: Solve for x
    x = 1,947,620.33/1,429.72
  6. Step 6: Final answer
    x = 1,362.24

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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.