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Finding the Fourth Proportional to 3,166.17, 4,750.50 and 1,316.82

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Solution

The fourth proportional to 3,166.17, 4,750.50 and 1,316.82 is: 1,975.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.17 : 4,750.50 = 1,316.82 : x
  2. Step 2: Convert to fraction form
    3,166.17/4,750.50 = 1,316.82/x
  3. Step 3: Cross multiply
    3,166.17x = 4,750.50 × 1,316.82
  4. Step 4: Simplify right side
    3,166.17x = 6,255,553.41
  5. Step 5: Solve for x
    x = 6,255,553.41/3,166.17
  6. Step 6: Final answer
    x = 1,975.75

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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.