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Finding the Fourth Proportional to 1,883.25, 2,824.34 and 787.59

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Solution

The fourth proportional to 1,883.25, 2,824.34 and 787.59 is: 1,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.25 : 2,824.34 = 787.59 : x
  2. Step 2: Convert to fraction form
    1,883.25/2,824.34 = 787.59/x
  3. Step 3: Cross multiply
    1,883.25x = 2,824.34 × 787.59
  4. Step 4: Simplify right side
    1,883.25x = 2,224,418.00
  5. Step 5: Solve for x
    x = 2,224,418.00/1,883.25
  6. Step 6: Final answer
    x = 1,181.16

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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.