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Finding the Fourth Proportional to 2,822.93, 4,234.52 and 875.09

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Solution

The fourth proportional to 2,822.93, 4,234.52 and 875.09 is: 1,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.93 : 4,234.52 = 875.09 : x
  2. Step 2: Convert to fraction form
    2,822.93/4,234.52 = 875.09/x
  3. Step 3: Cross multiply
    2,822.93x = 4,234.52 × 875.09
  4. Step 4: Simplify right side
    2,822.93x = 3,705,581.73
  5. Step 5: Solve for x
    x = 3,705,581.73/2,822.93
  6. Step 6: Final answer
    x = 1,312.67

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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.