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Finding the Fourth Proportional to 2,102.53, 3,150.05 and 1,280.38

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Solution

The fourth proportional to 2,102.53, 3,150.05 and 1,280.38 is: 1,918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.53 : 3,150.05 = 1,280.38 : x
  2. Step 2: Convert to fraction form
    2,102.53/3,150.05 = 1,280.38/x
  3. Step 3: Cross multiply
    2,102.53x = 3,150.05 × 1,280.38
  4. Step 4: Simplify right side
    2,102.53x = 4,033,261.02
  5. Step 5: Solve for x
    x = 4,033,261.02/2,102.53
  6. Step 6: Final answer
    x = 1,918.29

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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.