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Finding the Fourth Proportional to 2,753.69, 4,125.06 and 1,288.40

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Solution

The fourth proportional to 2,753.69, 4,125.06 and 1,288.40 is: 1,930.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.69 : 4,125.06 = 1,288.40 : x
  2. Step 2: Convert to fraction form
    2,753.69/4,125.06 = 1,288.40/x
  3. Step 3: Cross multiply
    2,753.69x = 4,125.06 × 1,288.40
  4. Step 4: Simplify right side
    2,753.69x = 5,314,706.68
  5. Step 5: Solve for x
    x = 5,314,706.68/2,753.69
  6. Step 6: Final answer
    x = 1,930.03

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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.