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Finding the Fourth Proportional to 2,232.55, 3,080.92 and 1,237.84

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Solution

The fourth proportional to 2,232.55, 3,080.92 and 1,237.84 is: 1,708.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,232.55 : 3,080.92 = 1,237.84 : x
  2. Step 2: Convert to fraction form
    2,232.55/3,080.92 = 1,237.84/x
  3. Step 3: Cross multiply
    2,232.55x = 3,080.92 × 1,237.84
  4. Step 4: Simplify right side
    2,232.55x = 3,813,686.01
  5. Step 5: Solve for x
    x = 3,813,686.01/2,232.55
  6. Step 6: Final answer
    x = 1,708.22

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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.