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Finding the Fourth Proportional to 1,915.64, 2,870.72 and 1,092.21

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Solution

The fourth proportional to 1,915.64, 2,870.72 and 1,092.21 is: 1,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.64 : 2,870.72 = 1,092.21 : x
  2. Step 2: Convert to fraction form
    1,915.64/2,870.72 = 1,092.21/x
  3. Step 3: Cross multiply
    1,915.64x = 2,870.72 × 1,092.21
  4. Step 4: Simplify right side
    1,915.64x = 3,135,429.09
  5. Step 5: Solve for x
    x = 3,135,429.09/1,915.64
  6. Step 6: Final answer
    x = 1,636.75

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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.