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Finding the Fourth Proportional to 2,735.03, 4,102.41 and 787.16

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Solution

The fourth proportional to 2,735.03, 4,102.41 and 787.16 is: 1,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.03 : 4,102.41 = 787.16 : x
  2. Step 2: Convert to fraction form
    2,735.03/4,102.41 = 787.16/x
  3. Step 3: Cross multiply
    2,735.03x = 4,102.41 × 787.16
  4. Step 4: Simplify right side
    2,735.03x = 3,229,253.06
  5. Step 5: Solve for x
    x = 3,229,253.06/2,735.03
  6. Step 6: Final answer
    x = 1,180.70

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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.