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Finding the Fourth Proportional to 2,113.82, 2,917.84 and 1,591.36

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Solution

The fourth proportional to 2,113.82, 2,917.84 and 1,591.36 is: 2,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.82 : 2,917.84 = 1,591.36 : x
  2. Step 2: Convert to fraction form
    2,113.82/2,917.84 = 1,591.36/x
  3. Step 3: Cross multiply
    2,113.82x = 2,917.84 × 1,591.36
  4. Step 4: Simplify right side
    2,113.82x = 4,643,333.86
  5. Step 5: Solve for x
    x = 4,643,333.86/2,113.82
  6. Step 6: Final answer
    x = 2,196.66

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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.