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Finding the Fourth Proportional to 2,661.91, 3,992.94 and 714.12

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Solution

The fourth proportional to 2,661.91, 3,992.94 and 714.12 is: 1,071.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.91 : 3,992.94 = 714.12 : x
  2. Step 2: Convert to fraction form
    2,661.91/3,992.94 = 714.12/x
  3. Step 3: Cross multiply
    2,661.91x = 3,992.94 × 714.12
  4. Step 4: Simplify right side
    2,661.91x = 2,851,438.31
  5. Step 5: Solve for x
    x = 2,851,438.31/2,661.91
  6. Step 6: Final answer
    x = 1,071.20

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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.