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Finding the Fourth Proportional to 2,358.75, 3,543.36 and 1,538.31

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Solution

The fourth proportional to 2,358.75, 3,543.36 and 1,538.31 is: 2,310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.75 : 3,543.36 = 1,538.31 : x
  2. Step 2: Convert to fraction form
    2,358.75/3,543.36 = 1,538.31/x
  3. Step 3: Cross multiply
    2,358.75x = 3,543.36 × 1,538.31
  4. Step 4: Simplify right side
    2,358.75x = 5,450,786.12
  5. Step 5: Solve for x
    x = 5,450,786.12/2,358.75
  6. Step 6: Final answer
    x = 2,310.88

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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.