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Finding the Fourth Proportional to 1,812.96, 2,713.77 and 1,164.15

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Solution

The fourth proportional to 1,812.96, 2,713.77 and 1,164.15 is: 1,742.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,812.96 : 2,713.77 = 1,164.15 : x
  2. Step 2: Convert to fraction form
    1,812.96/2,713.77 = 1,164.15/x
  3. Step 3: Cross multiply
    1,812.96x = 2,713.77 × 1,164.15
  4. Step 4: Simplify right side
    1,812.96x = 3,159,235.35
  5. Step 5: Solve for x
    x = 3,159,235.35/1,812.96
  6. Step 6: Final answer
    x = 1,742.58

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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.