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Finding the Fourth Proportional to 2,966.56, 4,450.08 and 914.56

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Solution

The fourth proportional to 2,966.56, 4,450.08 and 914.56 is: 1,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.56 : 4,450.08 = 914.56 : x
  2. Step 2: Convert to fraction form
    2,966.56/4,450.08 = 914.56/x
  3. Step 3: Cross multiply
    2,966.56x = 4,450.08 × 914.56
  4. Step 4: Simplify right side
    2,966.56x = 4,069,865.16
  5. Step 5: Solve for x
    x = 4,069,865.16/2,966.56
  6. Step 6: Final answer
    x = 1,371.91

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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.