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Finding the Fourth Proportional to 2,735.02, 4,102.86 and 787.24

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Solution

The fourth proportional to 2,735.02, 4,102.86 and 787.24 is: 1,180.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,735.02 : 4,102.86 = 787.24 : x
  2. Step 2: Convert to fraction form
    2,735.02/4,102.86 = 787.24/x
  3. Step 3: Cross multiply
    2,735.02x = 4,102.86 × 787.24
  4. Step 4: Simplify right side
    2,735.02x = 3,229,935.51
  5. Step 5: Solve for x
    x = 3,229,935.51/2,735.02
  6. Step 6: Final answer
    x = 1,180.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.