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Finding the Fourth Proportional to 1,812.16, 2,715.18 and 1,162.54

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Solution

The fourth proportional to 1,812.16, 2,715.18 and 1,162.54 is: 1,741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.16 : 2,715.18 = 1,162.54 : x
  2. Step 2: Convert to fraction form
    1,812.16/2,715.18 = 1,162.54/x
  3. Step 3: Cross multiply
    1,812.16x = 2,715.18 × 1,162.54
  4. Step 4: Simplify right side
    1,812.16x = 3,156,505.36
  5. Step 5: Solve for x
    x = 3,156,505.36/1,812.16
  6. Step 6: Final answer
    x = 1,741.85

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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.