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Finding the Fourth Proportional to 2,712.12, 4,069.62 and 1,173

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Solution

The fourth proportional to 2,712.12, 4,069.62 and 1,173 is: 1,760.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.12 : 4,069.62 = 1,173 : x
  2. Step 2: Convert to fraction form
    2,712.12/4,069.62 = 1,173/x
  3. Step 3: Cross multiply
    2,712.12x = 4,069.62 × 1,173
  4. Step 4: Simplify right side
    2,712.12x = 4,773,664.26
  5. Step 5: Solve for x
    x = 4,773,664.26/2,712.12
  6. Step 6: Final answer
    x = 1,760.12

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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.