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Finding the Fourth Proportional to 3,617.82, 4,992.68 and 2,046

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Solution

The fourth proportional to 3,617.82, 4,992.68 and 2,046 is: 2,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.82 : 4,992.68 = 2,046 : x
  2. Step 2: Convert to fraction form
    3,617.82/4,992.68 = 2,046/x
  3. Step 3: Cross multiply
    3,617.82x = 4,992.68 × 2,046
  4. Step 4: Simplify right side
    3,617.82x = 10,215,013.05
  5. Step 5: Solve for x
    x = 10,215,013.05/3,617.82
  6. Step 6: Final answer
    x = 2,823.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.