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Finding the Fourth Proportional to 2,191.92, 3,285.74 and 875.29

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Solution

The fourth proportional to 2,191.92, 3,285.74 and 875.29 is: 1,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,191.92 : 3,285.74 = 875.29 : x
  2. Step 2: Convert to fraction form
    2,191.92/3,285.74 = 875.29/x
  3. Step 3: Cross multiply
    2,191.92x = 3,285.74 × 875.29
  4. Step 4: Simplify right side
    2,191.92x = 2,875,958.94
  5. Step 5: Solve for x
    x = 2,875,958.94/2,191.92
  6. Step 6: Final answer
    x = 1,312.08

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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.