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Finding the Fourth Proportional to 1,392.53, 1,921.37 and 832.91

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Solution

The fourth proportional to 1,392.53, 1,921.37 and 832.91 is: 1,149.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.53 : 1,921.37 = 832.91 : x
  2. Step 2: Convert to fraction form
    1,392.53/1,921.37 = 832.91/x
  3. Step 3: Cross multiply
    1,392.53x = 1,921.37 × 832.91
  4. Step 4: Simplify right side
    1,392.53x = 1,600,314.52
  5. Step 5: Solve for x
    x = 1,600,314.52/1,392.53
  6. Step 6: Final answer
    x = 1,149.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.