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Finding the Fourth Proportional to 2,754.48, 4,128.96 and 1,110

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Solution

The fourth proportional to 2,754.48, 4,128.96 and 1,110 is: 1,663.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.48 : 4,128.96 = 1,110 : x
  2. Step 2: Convert to fraction form
    2,754.48/4,128.96 = 1,110/x
  3. Step 3: Cross multiply
    2,754.48x = 4,128.96 × 1,110
  4. Step 4: Simplify right side
    2,754.48x = 4,583,145.60
  5. Step 5: Solve for x
    x = 4,583,145.60/2,754.48
  6. Step 6: Final answer
    x = 1,663.89

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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.