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Finding the Fourth Proportional to 1,356.56, 2,032.22 and 892.94

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Solution

The fourth proportional to 1,356.56, 2,032.22 and 892.94 is: 1,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.56 : 2,032.22 = 892.94 : x
  2. Step 2: Convert to fraction form
    1,356.56/2,032.22 = 892.94/x
  3. Step 3: Cross multiply
    1,356.56x = 2,032.22 × 892.94
  4. Step 4: Simplify right side
    1,356.56x = 1,814,650.53
  5. Step 5: Solve for x
    x = 1,814,650.53/1,356.56
  6. Step 6: Final answer
    x = 1,337.69

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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.