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Finding the Fourth Proportional to 2,344.11, 3,514.56 and 882

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Solution

The fourth proportional to 2,344.11, 3,514.56 and 882 is: 1,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,344.11 : 3,514.56 = 882 : x
  2. Step 2: Convert to fraction form
    2,344.11/3,514.56 = 882/x
  3. Step 3: Cross multiply
    2,344.11x = 3,514.56 × 882
  4. Step 4: Simplify right side
    2,344.11x = 3,099,838.61
  5. Step 5: Solve for x
    x = 3,099,838.61/2,344.11
  6. Step 6: Final answer
    x = 1,322.40

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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.