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Finding the Fourth Proportional to 1,812.30, 2,719.47 and 772.19

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Solution

The fourth proportional to 1,812.30, 2,719.47 and 772.19 is: 1,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.30 : 2,719.47 = 772.19 : x
  2. Step 2: Convert to fraction form
    1,812.30/2,719.47 = 772.19/x
  3. Step 3: Cross multiply
    1,812.30x = 2,719.47 × 772.19
  4. Step 4: Simplify right side
    1,812.30x = 2,099,956.27
  5. Step 5: Solve for x
    x = 2,099,956.27/1,812.30
  6. Step 6: Final answer
    x = 1,158.72

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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.