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Finding the Fourth Proportional to 2,240.51, 3,360.77 and 779.31

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Solution

The fourth proportional to 2,240.51, 3,360.77 and 779.31 is: 1,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.51 : 3,360.77 = 779.31 : x
  2. Step 2: Convert to fraction form
    2,240.51/3,360.77 = 779.31/x
  3. Step 3: Cross multiply
    2,240.51x = 3,360.77 × 779.31
  4. Step 4: Simplify right side
    2,240.51x = 2,619,077.77
  5. Step 5: Solve for x
    x = 2,619,077.77/2,240.51
  6. Step 6: Final answer
    x = 1,168.97

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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.