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Finding the Fourth Proportional to 2,053.71, 3,081.77 and 756.09

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Solution

The fourth proportional to 2,053.71, 3,081.77 and 756.09 is: 1,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.71 : 3,081.77 = 756.09 : x
  2. Step 2: Convert to fraction form
    2,053.71/3,081.77 = 756.09/x
  3. Step 3: Cross multiply
    2,053.71x = 3,081.77 × 756.09
  4. Step 4: Simplify right side
    2,053.71x = 2,330,095.48
  5. Step 5: Solve for x
    x = 2,330,095.48/2,053.71
  6. Step 6: Final answer
    x = 1,134.58

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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.