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Finding the Fourth Proportional to 4,180, 6,270.08 and 1,102.08

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Solution

The fourth proportional to 4,180, 6,270.08 and 1,102.08 is: 1,653.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180 : 6,270.08 = 1,102.08 : x
  2. Step 2: Convert to fraction form
    4,180/6,270.08 = 1,102.08/x
  3. Step 3: Cross multiply
    4,180x = 6,270.08 × 1,102.08
  4. Step 4: Simplify right side
    4,180x = 6,910,129.77
  5. Step 5: Solve for x
    x = 6,910,129.77/4,180
  6. Step 6: Final answer
    x = 1,653.14

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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.