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Finding the Fourth Proportional to 1,272.85, 1,915.97 and 1,084.93

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Solution

The fourth proportional to 1,272.85, 1,915.97 and 1,084.93 is: 1,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.85 : 1,915.97 = 1,084.93 : x
  2. Step 2: Convert to fraction form
    1,272.85/1,915.97 = 1,084.93/x
  3. Step 3: Cross multiply
    1,272.85x = 1,915.97 × 1,084.93
  4. Step 4: Simplify right side
    1,272.85x = 2,078,689.22
  5. Step 5: Solve for x
    x = 2,078,689.22/1,272.85
  6. Step 6: Final answer
    x = 1,633.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.