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Finding the Fourth Proportional to 2,279.95, 3,419.93 and 548.58

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Solution

The fourth proportional to 2,279.95, 3,419.93 and 548.58 is: 822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.95 : 3,419.93 = 548.58 : x
  2. Step 2: Convert to fraction form
    2,279.95/3,419.93 = 548.58/x
  3. Step 3: Cross multiply
    2,279.95x = 3,419.93 × 548.58
  4. Step 4: Simplify right side
    2,279.95x = 1,876,100.16
  5. Step 5: Solve for x
    x = 1,876,100.16/2,279.95
  6. Step 6: Final answer
    x = 822.87

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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.