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Finding the Fourth Proportional to 1,812.82, 2,714.61 and 1,152.67

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Solution

The fourth proportional to 1,812.82, 2,714.61 and 1,152.67 is: 1,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.82 : 2,714.61 = 1,152.67 : x
  2. Step 2: Convert to fraction form
    1,812.82/2,714.61 = 1,152.67/x
  3. Step 3: Cross multiply
    1,812.82x = 2,714.61 × 1,152.67
  4. Step 4: Simplify right side
    1,812.82x = 3,129,035.94
  5. Step 5: Solve for x
    x = 3,129,035.94/1,812.82
  6. Step 6: Final answer
    x = 1,726.06

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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.