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Finding the Fourth Proportional to 2,107.86, 3,162.59 and 875.18

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Solution

The fourth proportional to 2,107.86, 3,162.59 and 875.18 is: 1,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.86 : 3,162.59 = 875.18 : x
  2. Step 2: Convert to fraction form
    2,107.86/3,162.59 = 875.18/x
  3. Step 3: Cross multiply
    2,107.86x = 3,162.59 × 875.18
  4. Step 4: Simplify right side
    2,107.86x = 2,767,815.33
  5. Step 5: Solve for x
    x = 2,767,815.33/2,107.86
  6. Step 6: Final answer
    x = 1,313.09

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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.