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Finding the Fourth Proportional to 2,168.57, 3,254.68 and 1,128.94

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Solution

The fourth proportional to 2,168.57, 3,254.68 and 1,128.94 is: 1,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.57 : 3,254.68 = 1,128.94 : x
  2. Step 2: Convert to fraction form
    2,168.57/3,254.68 = 1,128.94/x
  3. Step 3: Cross multiply
    2,168.57x = 3,254.68 × 1,128.94
  4. Step 4: Simplify right side
    2,168.57x = 3,674,331.71
  5. Step 5: Solve for x
    x = 3,674,331.71/2,168.57
  6. Step 6: Final answer
    x = 1,694.36

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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.