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Finding the Fourth Proportional to 4,102, 6,153.12 and 1,024

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Solution

The fourth proportional to 4,102, 6,153.12 and 1,024 is: 1,536.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102 : 6,153.12 = 1,024 : x
  2. Step 2: Convert to fraction form
    4,102/6,153.12 = 1,024/x
  3. Step 3: Cross multiply
    4,102x = 6,153.12 × 1,024
  4. Step 4: Simplify right side
    4,102x = 6,300,794.88
  5. Step 5: Solve for x
    x = 6,300,794.88/4,102
  6. Step 6: Final answer
    x = 1,536.03

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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.