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Finding the Fourth Proportional to 2,126.96, 3,192.16 and 895.17

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Solution

The fourth proportional to 2,126.96, 3,192.16 and 895.17 is: 1,343.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.96 : 3,192.16 = 895.17 : x
  2. Step 2: Convert to fraction form
    2,126.96/3,192.16 = 895.17/x
  3. Step 3: Cross multiply
    2,126.96x = 3,192.16 × 895.17
  4. Step 4: Simplify right side
    2,126.96x = 2,857,525.87
  5. Step 5: Solve for x
    x = 2,857,525.87/2,126.96
  6. Step 6: Final answer
    x = 1,343.48

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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.