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Finding the Fourth Proportional to 2,966.59, 4,449.24 and 1,117.83

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Solution

The fourth proportional to 2,966.59, 4,449.24 and 1,117.83 is: 1,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.59 : 4,449.24 = 1,117.83 : x
  2. Step 2: Convert to fraction form
    2,966.59/4,449.24 = 1,117.83/x
  3. Step 3: Cross multiply
    2,966.59x = 4,449.24 × 1,117.83
  4. Step 4: Simplify right side
    2,966.59x = 4,973,493.95
  5. Step 5: Solve for x
    x = 4,973,493.95/2,966.59
  6. Step 6: Final answer
    x = 1,676.50

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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.