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Finding the Fourth Proportional to 2,342.12, 3,513.56 and 881.38

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Solution

The fourth proportional to 2,342.12, 3,513.56 and 881.38 is: 1,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.12 : 3,513.56 = 881.38 : x
  2. Step 2: Convert to fraction form
    2,342.12/3,513.56 = 881.38/x
  3. Step 3: Cross multiply
    2,342.12x = 3,513.56 × 881.38
  4. Step 4: Simplify right side
    2,342.12x = 3,096,781.51
  5. Step 5: Solve for x
    x = 3,096,781.51/2,342.12
  6. Step 6: Final answer
    x = 1,322.21

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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.