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Finding the Fourth Proportional to 2,128.64, 3,191.59 and 741.88

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Solution

The fourth proportional to 2,128.64, 3,191.59 and 741.88 is: 1,112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,128.64 : 3,191.59 = 741.88 : x
  2. Step 2: Convert to fraction form
    2,128.64/3,191.59 = 741.88/x
  3. Step 3: Cross multiply
    2,128.64x = 3,191.59 × 741.88
  4. Step 4: Simplify right side
    2,128.64x = 2,367,758.98
  5. Step 5: Solve for x
    x = 2,367,758.98/2,128.64
  6. Step 6: Final answer
    x = 1,112.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.