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Finding the Fourth Proportional to 2,662.82, 3,675.14 and 2,032.16

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Solution

The fourth proportional to 2,662.82, 3,675.14 and 2,032.16 is: 2,804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.82 : 3,675.14 = 2,032.16 : x
  2. Step 2: Convert to fraction form
    2,662.82/3,675.14 = 2,032.16/x
  3. Step 3: Cross multiply
    2,662.82x = 3,675.14 × 2,032.16
  4. Step 4: Simplify right side
    2,662.82x = 7,468,459.21
  5. Step 5: Solve for x
    x = 7,468,459.21/2,662.82
  6. Step 6: Final answer
    x = 2,804.72

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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.