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Finding the Fourth Proportional to 2,966.63, 4,447.17 and 1,118.96

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Solution

The fourth proportional to 2,966.63, 4,447.17 and 1,118.96 is: 1,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.63 : 4,447.17 = 1,118.96 : x
  2. Step 2: Convert to fraction form
    2,966.63/4,447.17 = 1,118.96/x
  3. Step 3: Cross multiply
    2,966.63x = 4,447.17 × 1,118.96
  4. Step 4: Simplify right side
    2,966.63x = 4,976,205.34
  5. Step 5: Solve for x
    x = 4,976,205.34/2,966.63
  6. Step 6: Final answer
    x = 1,677.39

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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.