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Finding the Fourth Proportional to 1,848.22, 2,771.96 and 549.40

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Solution

The fourth proportional to 1,848.22, 2,771.96 and 549.40 is: 823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.22 : 2,771.96 = 549.40 : x
  2. Step 2: Convert to fraction form
    1,848.22/2,771.96 = 549.40/x
  3. Step 3: Cross multiply
    1,848.22x = 2,771.96 × 549.40
  4. Step 4: Simplify right side
    1,848.22x = 1,522,914.82
  5. Step 5: Solve for x
    x = 1,522,914.82/1,848.22
  6. Step 6: Final answer
    x = 823.99

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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.