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Finding the Fourth Proportional to 2,280.82, 3,147.54 and 1,232.89

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Solution

The fourth proportional to 2,280.82, 3,147.54 and 1,232.89 is: 1,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.82 : 3,147.54 = 1,232.89 : x
  2. Step 2: Convert to fraction form
    2,280.82/3,147.54 = 1,232.89/x
  3. Step 3: Cross multiply
    2,280.82x = 3,147.54 × 1,232.89
  4. Step 4: Simplify right side
    2,280.82x = 3,880,570.59
  5. Step 5: Solve for x
    x = 3,880,570.59/2,280.82
  6. Step 6: Final answer
    x = 1,701.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.