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Finding the Fourth Proportional to 2,305.56, 3,180.72 and 1,607.34

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Solution

The fourth proportional to 2,305.56, 3,180.72 and 1,607.34 is: 2,217.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.56 : 3,180.72 = 1,607.34 : x
  2. Step 2: Convert to fraction form
    2,305.56/3,180.72 = 1,607.34/x
  3. Step 3: Cross multiply
    2,305.56x = 3,180.72 × 1,607.34
  4. Step 4: Simplify right side
    2,305.56x = 5,112,498.48
  5. Step 5: Solve for x
    x = 5,112,498.48/2,305.56
  6. Step 6: Final answer
    x = 2,217.46

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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.