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Finding the Fourth Proportional to 1,967.46, 2,715.27 and 1,128.43

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Solution

The fourth proportional to 1,967.46, 2,715.27 and 1,128.43 is: 1,557.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.46 : 2,715.27 = 1,128.43 : x
  2. Step 2: Convert to fraction form
    1,967.46/2,715.27 = 1,128.43/x
  3. Step 3: Cross multiply
    1,967.46x = 2,715.27 × 1,128.43
  4. Step 4: Simplify right side
    1,967.46x = 3,063,986.48
  5. Step 5: Solve for x
    x = 3,063,986.48/1,967.46
  6. Step 6: Final answer
    x = 1,557.33

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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.