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Finding the Fourth Proportional to 2,129.17, 3,192.27 and 895.58

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Solution

The fourth proportional to 2,129.17, 3,192.27 and 895.58 is: 1,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.17 : 3,192.27 = 895.58 : x
  2. Step 2: Convert to fraction form
    2,129.17/3,192.27 = 895.58/x
  3. Step 3: Cross multiply
    2,129.17x = 3,192.27 × 895.58
  4. Step 4: Simplify right side
    2,129.17x = 2,858,917.21
  5. Step 5: Solve for x
    x = 2,858,917.21/2,129.17
  6. Step 6: Final answer
    x = 1,342.74

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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.