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Finding the Fourth Proportional to 2,917.65, 4,026.22 and 1,591.31

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Solution

The fourth proportional to 2,917.65, 4,026.22 and 1,591.31 is: 2,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.65 : 4,026.22 = 1,591.31 : x
  2. Step 2: Convert to fraction form
    2,917.65/4,026.22 = 1,591.31/x
  3. Step 3: Cross multiply
    2,917.65x = 4,026.22 × 1,591.31
  4. Step 4: Simplify right side
    2,917.65x = 6,406,944.02
  5. Step 5: Solve for x
    x = 6,406,944.02/2,917.65
  6. Step 6: Final answer
    x = 2,195.93

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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.