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Finding the Fourth Proportional to 2,053.10, 3,077.73 and 754.27

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Solution

The fourth proportional to 2,053.10, 3,077.73 and 754.27 is: 1,130.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.10 : 3,077.73 = 754.27 : x
  2. Step 2: Convert to fraction form
    2,053.10/3,077.73 = 754.27/x
  3. Step 3: Cross multiply
    2,053.10x = 3,077.73 × 754.27
  4. Step 4: Simplify right side
    2,053.10x = 2,321,431.71
  5. Step 5: Solve for x
    x = 2,321,431.71/2,053.10
  6. Step 6: Final answer
    x = 1,130.69

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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.