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Finding the Fourth Proportional to 1,353.75, 1,867.46 and 856.22

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Solution

The fourth proportional to 1,353.75, 1,867.46 and 856.22 is: 1,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.75 : 1,867.46 = 856.22 : x
  2. Step 2: Convert to fraction form
    1,353.75/1,867.46 = 856.22/x
  3. Step 3: Cross multiply
    1,353.75x = 1,867.46 × 856.22
  4. Step 4: Simplify right side
    1,353.75x = 1,598,942.98
  5. Step 5: Solve for x
    x = 1,598,942.98/1,353.75
  6. Step 6: Final answer
    x = 1,181.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.