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Finding the Fourth Proportional to 2,966.65, 4,450.58 and 886.57

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Solution

The fourth proportional to 2,966.65, 4,450.58 and 886.57 is: 1,330.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.65 : 4,450.58 = 886.57 : x
  2. Step 2: Convert to fraction form
    2,966.65/4,450.58 = 886.57/x
  3. Step 3: Cross multiply
    2,966.65x = 4,450.58 × 886.57
  4. Step 4: Simplify right side
    2,966.65x = 3,945,750.71
  5. Step 5: Solve for x
    x = 3,945,750.71/2,966.65
  6. Step 6: Final answer
    x = 1,330.04

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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.