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Finding the Fourth Proportional to 2,347.64, 3,236.00 and 1,591.18

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Solution

The fourth proportional to 2,347.64, 3,236.00 and 1,591.18 is: 2,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.64 : 3,236.00 = 1,591.18 : x
  2. Step 2: Convert to fraction form
    2,347.64/3,236.00 = 1,591.18/x
  3. Step 3: Cross multiply
    2,347.64x = 3,236.00 × 1,591.18
  4. Step 4: Simplify right side
    2,347.64x = 5,149,054.57
  5. Step 5: Solve for x
    x = 5,149,054.57/2,347.64
  6. Step 6: Final answer
    x = 2,193.29

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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.