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Finding the Fourth Proportional to 2,260.80, 3,117.06 and 1,945.44

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Solution

The fourth proportional to 2,260.80, 3,117.06 and 1,945.44 is: 2,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,260.80 : 3,117.06 = 1,945.44 : x
  2. Step 2: Convert to fraction form
    2,260.80/3,117.06 = 1,945.44/x
  3. Step 3: Cross multiply
    2,260.80x = 3,117.06 × 1,945.44
  4. Step 4: Simplify right side
    2,260.80x = 6,064,053.21
  5. Step 5: Solve for x
    x = 6,064,053.21/2,260.80
  6. Step 6: Final answer
    x = 2,682.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.