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Finding the Fourth Proportional to 2,966.96, 4,451.96 and 1,323.11

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Solution

The fourth proportional to 2,966.96, 4,451.96 and 1,323.11 is: 1,985.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.96 : 4,451.96 = 1,323.11 : x
  2. Step 2: Convert to fraction form
    2,966.96/4,451.96 = 1,323.11/x
  3. Step 3: Cross multiply
    2,966.96x = 4,451.96 × 1,323.11
  4. Step 4: Simplify right side
    2,966.96x = 5,890,447.23
  5. Step 5: Solve for x
    x = 5,890,447.23/2,966.96
  6. Step 6: Final answer
    x = 1,985.35

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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.