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Finding the Fourth Proportional to 1,847.65, 2,771.44 and 549.13

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Solution

The fourth proportional to 1,847.65, 2,771.44 and 549.13 is: 823.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847.65 : 2,771.44 = 549.13 : x
  2. Step 2: Convert to fraction form
    1,847.65/2,771.44 = 549.13/x
  3. Step 3: Cross multiply
    1,847.65x = 2,771.44 × 549.13
  4. Step 4: Simplify right side
    1,847.65x = 1,521,880.85
  5. Step 5: Solve for x
    x = 1,521,880.85/1,847.65
  6. Step 6: Final answer
    x = 823.68

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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.