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Finding the Fourth Proportional to 1,511.27, 2,084.91 and 881.63

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Solution

The fourth proportional to 1,511.27, 2,084.91 and 881.63 is: 1,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.27 : 2,084.91 = 881.63 : x
  2. Step 2: Convert to fraction form
    1,511.27/2,084.91 = 881.63/x
  3. Step 3: Cross multiply
    1,511.27x = 2,084.91 × 881.63
  4. Step 4: Simplify right side
    1,511.27x = 1,838,119.20
  5. Step 5: Solve for x
    x = 1,838,119.20/1,511.27
  6. Step 6: Final answer
    x = 1,216.27

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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.