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Finding the Fourth Proportional to 1,511.12, 2,264.76 and 827.60

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Solution

The fourth proportional to 1,511.12, 2,264.76 and 827.60 is: 1,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.12 : 2,264.76 = 827.60 : x
  2. Step 2: Convert to fraction form
    1,511.12/2,264.76 = 827.60/x
  3. Step 3: Cross multiply
    1,511.12x = 2,264.76 × 827.60
  4. Step 4: Simplify right side
    1,511.12x = 1,874,315.38
  5. Step 5: Solve for x
    x = 1,874,315.38/1,511.12
  6. Step 6: Final answer
    x = 1,240.35

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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.