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Finding the Fourth Proportional to 4,102, 6,153.30 and 1,505.20

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Solution

The fourth proportional to 4,102, 6,153.30 and 1,505.20 is: 2,257.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102 : 6,153.30 = 1,505.20 : x
  2. Step 2: Convert to fraction form
    4,102/6,153.30 = 1,505.20/x
  3. Step 3: Cross multiply
    4,102x = 6,153.30 × 1,505.20
  4. Step 4: Simplify right side
    4,102x = 9,261,947.16
  5. Step 5: Solve for x
    x = 9,261,947.16/4,102
  6. Step 6: Final answer
    x = 2,257.91

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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.