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Finding the Fourth Proportional to 4,102.74, 6,153.50 and 1,505.07

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Solution

The fourth proportional to 4,102.74, 6,153.50 and 1,505.07 is: 2,257.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.74 : 6,153.50 = 1,505.07 : x
  2. Step 2: Convert to fraction form
    4,102.74/6,153.50 = 1,505.07/x
  3. Step 3: Cross multiply
    4,102.74x = 6,153.50 × 1,505.07
  4. Step 4: Simplify right side
    4,102.74x = 9,261,440.72
  5. Step 5: Solve for x
    x = 9,261,440.72/4,102.74
  6. Step 6: Final answer
    x = 2,257.38

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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.