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Finding the Fourth Proportional to 2,910.56, 4,016.48 and 1,731.36

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Solution

The fourth proportional to 2,910.56, 4,016.48 and 1,731.36 is: 2,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.56 : 4,016.48 = 1,731.36 : x
  2. Step 2: Convert to fraction form
    2,910.56/4,016.48 = 1,731.36/x
  3. Step 3: Cross multiply
    2,910.56x = 4,016.48 × 1,731.36
  4. Step 4: Simplify right side
    2,910.56x = 6,953,972.81
  5. Step 5: Solve for x
    x = 6,953,972.81/2,910.56
  6. Step 6: Final answer
    x = 2,389.22

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Why These Related Problems?

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