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Finding the Fourth Proportional to 2,966.96, 4,447.68 and 1,868

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Solution

The fourth proportional to 2,966.96, 4,447.68 and 1,868 is: 2,800.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.96 : 4,447.68 = 1,868 : x
  2. Step 2: Convert to fraction form
    2,966.96/4,447.68 = 1,868/x
  3. Step 3: Cross multiply
    2,966.96x = 4,447.68 × 1,868
  4. Step 4: Simplify right side
    2,966.96x = 8,308,266.24
  5. Step 5: Solve for x
    x = 8,308,266.24/2,966.96
  6. Step 6: Final answer
    x = 2,800.26

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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.