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Finding the Fourth Proportional to 2,966.68, 4,450.56 and 1,018.45

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Solution

The fourth proportional to 2,966.68, 4,450.56 and 1,018.45 is: 1,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.68 : 4,450.56 = 1,018.45 : x
  2. Step 2: Convert to fraction form
    2,966.68/4,450.56 = 1,018.45/x
  3. Step 3: Cross multiply
    2,966.68x = 4,450.56 × 1,018.45
  4. Step 4: Simplify right side
    2,966.68x = 4,532,672.83
  5. Step 5: Solve for x
    x = 4,532,672.83/2,966.68
  6. Step 6: Final answer
    x = 1,527.86

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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.