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Finding the Fourth Proportional to 4,176.67, 6,263.46 and 1,253.98

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Solution

The fourth proportional to 4,176.67, 6,263.46 and 1,253.98 is: 1,880.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.67 : 6,263.46 = 1,253.98 : x
  2. Step 2: Convert to fraction form
    4,176.67/6,263.46 = 1,253.98/x
  3. Step 3: Cross multiply
    4,176.67x = 6,263.46 × 1,253.98
  4. Step 4: Simplify right side
    4,176.67x = 7,854,253.57
  5. Step 5: Solve for x
    x = 7,854,253.57/4,176.67
  6. Step 6: Final answer
    x = 1,880.51

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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.