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Finding the Fourth Proportional to 1,848.17, 2,771.77 and 549.34

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Solution

The fourth proportional to 1,848.17, 2,771.77 and 549.34 is: 823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,848.17 : 2,771.77 = 549.34 : x
  2. Step 2: Convert to fraction form
    1,848.17/2,771.77 = 549.34/x
  3. Step 3: Cross multiply
    1,848.17x = 2,771.77 × 549.34
  4. Step 4: Simplify right side
    1,848.17x = 1,522,644.13
  5. Step 5: Solve for x
    x = 1,522,644.13/1,848.17
  6. Step 6: Final answer
    x = 823.87

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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.