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Finding the Fourth Proportional to 4,102.63, 6,153.94 and 1,024.63

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Solution

The fourth proportional to 4,102.63, 6,153.94 and 1,024.63 is: 1,536.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.63 : 6,153.94 = 1,024.63 : x
  2. Step 2: Convert to fraction form
    4,102.63/6,153.94 = 1,024.63/x
  3. Step 3: Cross multiply
    4,102.63x = 6,153.94 × 1,024.63
  4. Step 4: Simplify right side
    4,102.63x = 6,305,480.77
  5. Step 5: Solve for x
    x = 6,305,480.77/4,102.63
  6. Step 6: Final answer
    x = 1,536.94

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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.