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Finding the Fourth Proportional to 3,166.76, 4,750.68 and 1,412.42

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Solution

The fourth proportional to 3,166.76, 4,750.68 and 1,412.42 is: 2,118.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.76 : 4,750.68 = 1,412.42 : x
  2. Step 2: Convert to fraction form
    3,166.76/4,750.68 = 1,412.42/x
  3. Step 3: Cross multiply
    3,166.76x = 4,750.68 × 1,412.42
  4. Step 4: Simplify right side
    3,166.76x = 6,709,955.45
  5. Step 5: Solve for x
    x = 6,709,955.45/3,166.76
  6. Step 6: Final answer
    x = 2,118.87

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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.