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Finding the Fourth Proportional to 4,180.50, 6,271.17 and 1,102.50

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Solution

The fourth proportional to 4,180.50, 6,271.17 and 1,102.50 is: 1,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.50 : 6,271.17 = 1,102.50 : x
  2. Step 2: Convert to fraction form
    4,180.50/6,271.17 = 1,102.50/x
  3. Step 3: Cross multiply
    4,180.50x = 6,271.17 × 1,102.50
  4. Step 4: Simplify right side
    4,180.50x = 6,913,964.93
  5. Step 5: Solve for x
    x = 6,913,964.93/4,180.50
  6. Step 6: Final answer
    x = 1,653.86

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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.