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Finding the Fourth Proportional to 2,839.57, 4,259.34 and 787.57

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Solution

The fourth proportional to 2,839.57, 4,259.34 and 787.57 is: 1,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.57 : 4,259.34 = 787.57 : x
  2. Step 2: Convert to fraction form
    2,839.57/4,259.34 = 787.57/x
  3. Step 3: Cross multiply
    2,839.57x = 4,259.34 × 787.57
  4. Step 4: Simplify right side
    2,839.57x = 3,354,528.40
  5. Step 5: Solve for x
    x = 3,354,528.40/2,839.57
  6. Step 6: Final answer
    x = 1,181.35

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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.