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Finding the Fourth Proportional to 1,848.08, 2,771.72 and 549.56

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Solution

The fourth proportional to 1,848.08, 2,771.72 and 549.56 is: 824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.08 : 2,771.72 = 549.56 : x
  2. Step 2: Convert to fraction form
    1,848.08/2,771.72 = 549.56/x
  3. Step 3: Cross multiply
    1,848.08x = 2,771.72 × 549.56
  4. Step 4: Simplify right side
    1,848.08x = 1,523,226.44
  5. Step 5: Solve for x
    x = 1,523,226.44/1,848.08
  6. Step 6: Final answer
    x = 824.22

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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.