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Finding the Fourth Proportional to 1,847.93, 2,771.58 and 615.21

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Solution

The fourth proportional to 1,847.93, 2,771.58 and 615.21 is: 922.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.93 : 2,771.58 = 615.21 : x
  2. Step 2: Convert to fraction form
    1,847.93/2,771.58 = 615.21/x
  3. Step 3: Cross multiply
    1,847.93x = 2,771.58 × 615.21
  4. Step 4: Simplify right side
    1,847.93x = 1,705,095.65
  5. Step 5: Solve for x
    x = 1,705,095.65/1,847.93
  6. Step 6: Final answer
    x = 922.71

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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.