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Finding the Fourth Proportional to 2,280.09, 3,420.14 and 548.72

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Solution

The fourth proportional to 2,280.09, 3,420.14 and 548.72 is: 823.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.09 : 3,420.14 = 548.72 : x
  2. Step 2: Convert to fraction form
    2,280.09/3,420.14 = 548.72/x
  3. Step 3: Cross multiply
    2,280.09x = 3,420.14 × 548.72
  4. Step 4: Simplify right side
    2,280.09x = 1,876,685.02
  5. Step 5: Solve for x
    x = 1,876,685.02/2,280.09
  6. Step 6: Final answer
    x = 823.07

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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.