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Finding the Fourth Proportional to 2,107.52, 3,162.24 and 875.21

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Solution

The fourth proportional to 2,107.52, 3,162.24 and 875.21 is: 1,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.52 : 3,162.24 = 875.21 : x
  2. Step 2: Convert to fraction form
    2,107.52/3,162.24 = 875.21/x
  3. Step 3: Cross multiply
    2,107.52x = 3,162.24 × 875.21
  4. Step 4: Simplify right side
    2,107.52x = 2,767,608.26
  5. Step 5: Solve for x
    x = 2,767,608.26/2,107.52
  6. Step 6: Final answer
    x = 1,313.21

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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.