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Finding the Fourth Proportional to 2,966.90, 4,450.30 and 886.91

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Solution

The fourth proportional to 2,966.90, 4,450.30 and 886.91 is: 1,330.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.90 : 4,450.30 = 886.91 : x
  2. Step 2: Convert to fraction form
    2,966.90/4,450.30 = 886.91/x
  3. Step 3: Cross multiply
    2,966.90x = 4,450.30 × 886.91
  4. Step 4: Simplify right side
    2,966.90x = 3,947,015.57
  5. Step 5: Solve for x
    x = 3,947,015.57/2,966.90
  6. Step 6: Final answer
    x = 1,330.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.