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Finding the Fourth Proportional to 2,911.31, 4,015.77 and 1,731.50

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Solution

The fourth proportional to 2,911.31, 4,015.77 and 1,731.50 is: 2,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911.31 : 4,015.77 = 1,731.50 : x
  2. Step 2: Convert to fraction form
    2,911.31/4,015.77 = 1,731.50/x
  3. Step 3: Cross multiply
    2,911.31x = 4,015.77 × 1,731.50
  4. Step 4: Simplify right side
    2,911.31x = 6,953,305.76
  5. Step 5: Solve for x
    x = 6,953,305.76/2,911.31
  6. Step 6: Final answer
    x = 2,388.38

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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.