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Finding the Fourth Proportional to 1,915.22, 2,873.31 and 761.06

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Solution

The fourth proportional to 1,915.22, 2,873.31 and 761.06 is: 1,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915.22 : 2,873.31 = 761.06 : x
  2. Step 2: Convert to fraction form
    1,915.22/2,873.31 = 761.06/x
  3. Step 3: Cross multiply
    1,915.22x = 2,873.31 × 761.06
  4. Step 4: Simplify right side
    1,915.22x = 2,186,761.31
  5. Step 5: Solve for x
    x = 2,186,761.31/1,915.22
  6. Step 6: Final answer
    x = 1,141.78

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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.